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4+6c=8c+10
We move all terms to the left:
4+6c-(8c+10)=0
We get rid of parentheses
6c-8c-10+4=0
We add all the numbers together, and all the variables
-2c-6=0
We move all terms containing c to the left, all other terms to the right
-2c=6
c=6/-2
c=-3
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