Mathematics
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OpenStudy (anitas.):
What is the value of n in the equation 3n + 2(n + 2) = 9n + 12?
I need help explanations step by step.
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OpenStudy (anonymous):
\[ 3n + 2(n + 2) = 9n + 12? \] step by step right?
OpenStudy (anonymous):
ready?
OpenStudy (anitas.):
yes
OpenStudy (anonymous):
distribute the 2 first for the \(2(n+2)\) part
what do you get/
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OpenStudy (anitas.):
4?
OpenStudy (anonymous):
oh no lets go slow
OpenStudy (anonymous):
your answer has to have an \(n\) in it
\[2(n+2)=2\times n+2\times 2\] by the distributive law
OpenStudy (anonymous):
we would write that as \[2(n+2)=2n+4\]
OpenStudy (anonymous):
start with \[3n + 2(n + 2) = 9n + 12\] next we have \[3n+2n+4=9n+12\]
next step is to combine like terms on the left
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OpenStudy (anitas.):
5n+4=9n+12
OpenStudy (anitas.):
and then i subtract 5n from both sides right?
OpenStudy (anonymous):
yes
OpenStudy (anitas.):
ok would that be 4=9n+12−5n?
OpenStudy (anonymous):
yes, but you probably want to subtract \(9n-5n\) instead of writing it like you did
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OpenStudy (anonymous):
what is \(9n-5n\)?
OpenStudy (anitas.):
4n
OpenStudy (anonymous):
right so \[4=4n+12\]
OpenStudy (anonymous):
next step?
OpenStudy (anitas.):
8+12n
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OpenStudy (anonymous):
ok no
OpenStudy (anonymous):
i said that wrong
the n in on the RIGHT you want the number on the LEFT
subtract 12 from both sides
OpenStudy (anonymous):
\[4=4n+12\] subtract \(12\) what do you get?
OpenStudy (anitas.):
-8=4n right?
OpenStudy (anonymous):
yes
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OpenStudy (anonymous):
now divide both sides by \(4\) to get \(n\) by itself
OpenStudy (anitas.):
-8/44=n
OpenStudy (anitas.):
oops i mean -8.4=n
OpenStudy (anonymous):
not 44, just 4
\[\frac{-8}{4}=n\]
OpenStudy (anonymous):
what is minus 8 divided by 4?
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OpenStudy (anitas.):
lol sorry i am gettin this wrong i ment t write that lol sorry
OpenStudy (anonymous):
what number is it?
OpenStudy (anitas.):
-2
OpenStudy (anonymous):
bingo
OpenStudy (anitas.):
ok thank you very much!! <33333 btw why did ur ss go from 100 to 99?
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OpenStudy (anonymous):
i got hacked apparently
OpenStudy (anitas.):
oh dats sad. i noticed though
OpenStudy (anonymous):
i will get it back