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jimthompson5910 (jim_thompson5910):
what do you get when you distribute 3(2t-4) ?
OpenStudy (anonymous):
6t+-12
jimthompson5910 (jim_thompson5910):
or just 6t - 12, good
jimthompson5910 (jim_thompson5910):
so
5t+3(2t-4)
turns into
5t + 6t - 12
jimthompson5910 (jim_thompson5910):
the last step is to combine like terms, which are 5t and 6t
add them to get _____
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OpenStudy (anonymous):
11t-12
jimthompson5910 (jim_thompson5910):
perfect
jimthompson5910 (jim_thompson5910):
that's your final answer
OpenStudy (anonymous):
15y+4(3-2y)
OpenStudy (anonymous):
15y+12-2y
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jimthompson5910 (jim_thompson5910):
you forgot to multiply the outer 4 by the inner term -2y
jimthompson5910 (jim_thompson5910):
when you distribute, the outer term has to multiply to each inner term
OpenStudy (anonymous):
15y+12-8
jimthompson5910 (jim_thompson5910):
and there's a y, so it should be -8y
jimthompson5910 (jim_thompson5910):
4 times -2y = -8y
not just -8
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OpenStudy (ja1):
Now combine like terms...
OpenStudy (anonymous):
7y+12
jimthompson5910 (jim_thompson5910):
good
OpenStudy (anonymous):
6r-3(r+4)
OpenStudy (ja1):
Same process :)
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OpenStudy (anonymous):
6r-3r+12
OpenStudy (ja1):
Remember that the 3 is negative
jimthompson5910 (jim_thompson5910):
you forgot to distribute the minus through
OpenStudy (anonymous):
Have i
OpenStudy (anonymous):
Where
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OpenStudy (ja1):
6r-3
This is the same as 6r + (-3) so the 3 is negative :)
jimthompson5910 (jim_thompson5910):
-3(r+4) is really -3 times r + (-3) times 4
OpenStudy (anonymous):
I have
OpenStudy (anonymous):
So it's then 6r-3r-12
OpenStudy (ja1):
Yupp :)
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OpenStudy (anonymous):
Thanks
OpenStudy (ja1):
No prob, so now combine like terms.
OpenStudy (anonymous):
3r-12
OpenStudy (anonymous):
This one is hard
OpenStudy (ja1):
Exactly :D btw
Welcome to OpenStudy, I see you have the feel of the website and I hope you have a good time on here. Also when you have a chance please read this:
http://openstudy.com/code-of-conduct
Happy OpenStudying :) ~ JA1
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OpenStudy (anonymous):
5r-3(2-4r)
OpenStudy (anonymous):
5r-6-12r
OpenStudy (anonymous):
Does that equal
-7+12
OpenStudy (ja1):
Actually no. When you multiply two negatives you get a positive :)
OpenStudy (ja1):
So what is -3 * -4r
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OpenStudy (anonymous):
Cn you go thought step by step please
OpenStudy (ja1):
Okay so,
\[5r-3(2-4r)\]
OpenStudy (ja1):
You need to distribute it, so -3 * 2 = -6 but -3 * -4r = 12r
OpenStudy (ja1):
Remember that
2−4r
Can be written as:
2 + (-4r)
OpenStudy (ja1):
So the 4 is negative, and when you multiply two negatives you get a positive
so -3 * -4 = 12
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