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71=8c-17
We move all terms to the left:
71-(8c-17)=0
We get rid of parentheses
-8c+17+71=0
We add all the numbers together, and all the variables
-8c+88=0
We move all terms containing c to the left, all other terms to the right
-8c=-88
c=-88/-8
c=+11
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