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4c=5c-17
We move all terms to the left:
4c-(5c-17)=0
We get rid of parentheses
4c-5c+17=0
We add all the numbers together, and all the variables
-1c+17=0
We move all terms containing c to the left, all other terms to the right
-c=-17
c=-17/-1
c=+17
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