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c+40=7c-84
We move all terms to the left:
c+40-(7c-84)=0
We get rid of parentheses
c-7c+84+40=0
We add all the numbers together, and all the variables
-6c+124=0
We move all terms containing c to the left, all other terms to the right
-6c=-124
c=-124/-6
c=20+2/3
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