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7-3c=2c-2
We move all terms to the left:
7-3c-(2c-2)=0
We get rid of parentheses
-3c-2c+2+7=0
We add all the numbers together, and all the variables
-5c+9=0
We move all terms containing c to the left, all other terms to the right
-5c=-9
c=-9/-5
c=1+4/5
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