Mathematics
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OpenStudy (anonymous):
solve equation -5(b+7)=4(3b+4) how do you do it?
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jimthompson5910 (jim_thompson5910):
what do you get when you distribute -5(b+7)
OpenStudy (anonymous):
so just distributing? -5b+35
jimthompson5910 (jim_thompson5910):
close
jimthompson5910 (jim_thompson5910):
but keep in mind that the negative distributes as well
OpenStudy (anonymous):
oh ok so -5b-35
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jimthompson5910 (jim_thompson5910):
good, what about 4(3b+4)
OpenStudy (anonymous):
12b+16
jimthompson5910 (jim_thompson5910):
so we have this so far
-5(b+7)=4(3b+4)
-5b-35=12b+16
jimthompson5910 (jim_thompson5910):
what's next?
OpenStudy (anonymous):
combine like terms
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jimthompson5910 (jim_thompson5910):
are there any like terms?
jimthompson5910 (jim_thompson5910):
think of each side as separate things for now (you can't combine across the equal sign)
OpenStudy (anonymous):
-5b -35 = 12b+16
-5b -12b = 16+35
-17b = 51
b = -3
jimthompson5910 (jim_thompson5910):
very good, you nailed it
OpenStudy (anonymous):
that's what i was saying get the like terms on each side
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OpenStudy (anonymous):
then combine
jimthompson5910 (jim_thompson5910):
ah i gotcha
OpenStudy (anonymous):
yw
jimthompson5910 (jim_thompson5910):
I thought you meant combine the like terms in -5b-35=12b+16
jimthompson5910 (jim_thompson5910):
but there aren't any because they are separated
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jimthompson5910 (jim_thompson5910):
but you got it though
OpenStudy (anonymous):
oh ok
jimthompson5910 (jim_thompson5910):
oh i was reading the wrong post...thought you were the OP
jimthompson5910 (jim_thompson5910):
sorry about that
OpenStudy (anonymous):
like 2 ( 4n+7)= -2(n+8) +5n is equal to -6
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OpenStudy (anonymous):
right?
jimthompson5910 (jim_thompson5910):
yes, n = -6 is the solution
OpenStudy (anonymous):
ok i got it thanks
jimthompson5910 (jim_thompson5910):
np