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17(7c-1)-14=117c+17
We move all terms to the left:
17(7c-1)-14-(117c+17)=0
We multiply parentheses
119c-(117c+17)-17-14=0
We get rid of parentheses
119c-117c-17-17-14=0
We add all the numbers together, and all the variables
2c-48=0
We move all terms containing c to the left, all other terms to the right
2c=48
c=48/2
c=24
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