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5c+8=7c-2
We move all terms to the left:
5c+8-(7c-2)=0
We get rid of parentheses
5c-7c+2+8=0
We add all the numbers together, and all the variables
-2c+10=0
We move all terms containing c to the left, all other terms to the right
-2c=-10
c=-10/-2
c=+5
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