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7c+3=4c+18
We move all terms to the left:
7c+3-(4c+18)=0
We get rid of parentheses
7c-4c-18+3=0
We add all the numbers together, and all the variables
3c-15=0
We move all terms containing c to the left, all other terms to the right
3c=15
c=15/3
c=5
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