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OpenStudy (anonymous):
expand the expression and combine the like terms:
7(-3+5p)+3(-2p-7)
OpenStudy (unklerhaukus):
expanding the first set of parentheses
\[7(-3+5p)\quad=\quad7\times-3\quad+\quad7\times 5p\]
OpenStudy (anonymous):
-21 and 35p
OpenStudy (unklerhaukus):
good , now the second set
3(-2p-7) = 3 x -2p + 3 x -7
=
OpenStudy (anonymous):
-6p and -21
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OpenStudy (unklerhaukus):
great!
so you have expanded the expression
7(-3+5p) + 3(-2p-7)
into
= -21 + 35p + -6p + -21
= -21 + 35p -6p -21
now combine the like terms
OpenStudy (anonymous):
i forget how combine like terms...
OpenStudy (unklerhaukus):
the terms with one p can be added together, and the constant numbers can add together
= -21 + 35p -6p -21
= (35-6)p + (-21-21)
=
OpenStudy (anonymous):
29 and -42
OpenStudy (anonymous):
is the asnwer 27p-49?
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OpenStudy (unklerhaukus):
so we write
= -21 + 35p -6p -21
= (35-6)p + (-21-21)
= 29p + -42
= 29p - 42
final answer
(you don't have to write the middle two steps above, if you can do these in your head )
OpenStudy (anonymous):
oh okay. i get it i think. can we do another problem?
OpenStudy (unklerhaukus):
ok
OpenStudy (anonymous):
-1+2(2t+4)
OpenStudy (anonymous):
-1+2
2t+4
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OpenStudy (unklerhaukus):
so just multiply the 2 in-font of the parenthesis with the terms inside it
i can check your working
OpenStudy (unklerhaukus):
, o , is that a fraction?
OpenStudy (anonymous):
no.
i gave you wrong question lol
-3(-1-t)+2(2t+4)
OpenStudy (unklerhaukus):
oh, ok.
well just multiply through the brackets like before
OpenStudy (unklerhaukus):
show me what you get after this step
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OpenStudy (anonymous):
-3x-1 am i doing it right so far
OpenStudy (unklerhaukus):
go on
OpenStudy (anonymous):
-t x 2t
OpenStudy (anonymous):
2x4
OpenStudy (unklerhaukus):
try to perform working in lines
-3( -1 -t) + 2( 2t +4)
= -3 x -1 + -3 x -t + 2 x 2t + 2 x 4
=
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OpenStudy (anonymous):
3 + 1t + 8
OpenStudy (anonymous):
what you mean?
OpenStudy (unklerhaukus):
oh wait,
-3 x -t = 3t,
OpenStudy (anonymous):
im confused lol
OpenStudy (unklerhaukus):
a negative times a negative equals a positive
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OpenStudy (anonymous):
so the answer is -3x-t=3t?
OpenStudy (unklerhaukus):
no, i mean that
= -3 x -1 + -3 x -t + 2 x 2t + 2 x 4
= 3 + 3t + 4t +8
OpenStudy (anonymous):
18?
OpenStudy (unklerhaukus):
you can't add terms with a variable ( t in this case) to constants
OpenStudy (anonymous):
so 7t +11
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OpenStudy (unklerhaukus):
that's better
OpenStudy (anonymous):
is that the final answer?
OpenStudy (unklerhaukus):
yes, if the question was simplify by expand and combine the like terms
OpenStudy (anonymous):
2(-t-4) - (-2+4t)
2x-t -4 - -2 +4t
OpenStudy (anonymous):
i did it wrong..
2(-4-t)-(4t-2)
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OpenStudy (anonymous):
6 + 8z + -10
OpenStudy (unklerhaukus):
how did -6 turn into 6?
OpenStudy (anonymous):
srry that was suppose be a -6
OpenStudy (unklerhaukus):
ok
OpenStudy (anonymous):
-16 + 8z (final answer?
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OpenStudy (unklerhaukus):
yep
OpenStudy (anonymous):
5(-4-2q) + 3 (q+7)
5 x -4 -2q+ 3 3 x q q+7
OpenStudy (unklerhaukus):
not quite, you have to multiply the term outside the brackets, by Both terms inside the brackets
OpenStudy (unklerhaukus):
ax(b+c) = axb + axc
OpenStudy (unklerhaukus):
try the expansion of the first bracket again
5(-4-2q) =
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OpenStudy (anonymous):
so 5 x -4 and 5 x -2q??
OpenStudy (unklerhaukus):
that's better, now try the second bracket expansing again
OpenStudy (anonymous):
3 x q and 3 x 7
OpenStudy (unklerhaukus):
yeah so
now what do you get for
5(-4-2q) + 3 (q+7)
=
OpenStudy (anonymous):
-30q + 10
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OpenStudy (anonymous):
+10q
OpenStudy (unklerhaukus):
5(-4-2q) + 3 (q+7)
= 5 x -4 and 5 x -2q + 3 x q and 3 x 7
= 5 x -4 + 5 x -2q + 3 x q + 3 x 7
=
OpenStudy (anonymous):
-20 + -10q + 21q
OpenStudy (unklerhaukus):
= 5 x -4 + 5 x -2q + 3 x q + 3 x 7
= -20 + -10q + 3 x q + 3 x 7
OpenStudy (anonymous):
-30q + 3xq + -21
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OpenStudy (unklerhaukus):
nope, do the multiplication first
OpenStudy (anonymous):
-21q + 30q
OpenStudy (unklerhaukus):
?
OpenStudy (anonymous):
im confused/
OpenStudy (unklerhaukus):
5(-4 -2q) + 3 (q + 7)
expanding the brackets
= 5 x -4 + 5 x -2q + 3 x q + 3 x 7
carrying out the multiplication
= -20 + -10q + ... + ...
combine the like terms
=
simplify
=
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OpenStudy (anonymous):
3 x q + 3 x 7
OpenStudy (unklerhaukus):
you can simply these multiplications, right?
OpenStudy (anonymous):
yes?
OpenStudy (unklerhaukus):
3 x q is the same as 3q right?
OpenStudy (anonymous):
yes
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OpenStudy (unklerhaukus):
3 times 7 is . . .
OpenStudy (anonymous):
21
OpenStudy (unklerhaukus):
= 5 x -4 + 5 x -2q + 3 x q + 3 x 7
carrying out the multiplication
= -20 + -10q + 3q + 21
combine the like terms
=