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2+3c=7-12c
We move all terms to the left:
2+3c-(7-12c)=0
We add all the numbers together, and all the variables
3c-(-12c+7)+2=0
We get rid of parentheses
3c+12c-7+2=0
We add all the numbers together, and all the variables
15c-5=0
We move all terms containing c to the left, all other terms to the right
15c=5
c=5/15
c=1/3
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