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8+7c=9c-10
We move all terms to the left:
8+7c-(9c-10)=0
We get rid of parentheses
7c-9c+10+8=0
We add all the numbers together, and all the variables
-2c+18=0
We move all terms containing c to the left, all other terms to the right
-2c=-18
c=-18/-2
c=+9
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