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6c+3=c-3
We move all terms to the left:
6c+3-(c-3)=0
We get rid of parentheses
6c-c+3+3=0
We add all the numbers together, and all the variables
5c+6=0
We move all terms containing c to the left, all other terms to the right
5c=-6
c=-6/5
c=-1+1/5
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