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10c+7=4c+37
We move all terms to the left:
10c+7-(4c+37)=0
We get rid of parentheses
10c-4c-37+7=0
We add all the numbers together, and all the variables
6c-30=0
We move all terms containing c to the left, all other terms to the right
6c=30
c=30/6
c=5
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