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3c+13=c+7
We move all terms to the left:
3c+13-(c+7)=0
We get rid of parentheses
3c-c-7+13=0
We add all the numbers together, and all the variables
2c+6=0
We move all terms containing c to the left, all other terms to the right
2c=-6
c=-6/2
c=-3
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