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5c-3=7c-17
We move all terms to the left:
5c-3-(7c-17)=0
We get rid of parentheses
5c-7c+17-3=0
We add all the numbers together, and all the variables
-2c+14=0
We move all terms containing c to the left, all other terms to the right
-2c=-14
c=-14/-2
c=+7
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