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2(4c+3)=5c-6
We move all terms to the left:
2(4c+3)-(5c-6)=0
We multiply parentheses
8c-(5c-6)+6=0
We get rid of parentheses
8c-5c+6+6=0
We add all the numbers together, and all the variables
3c+12=0
We move all terms containing c to the left, all other terms to the right
3c=-12
c=-12/3
c=-4
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