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10-9c=9c-8
We move all terms to the left:
10-9c-(9c-8)=0
We get rid of parentheses
-9c-9c+8+10=0
We add all the numbers together, and all the variables
-18c+18=0
We move all terms containing c to the left, all other terms to the right
-18c=-18
c=-18/-18
c=1
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