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6c-1=4c+3
We move all terms to the left:
6c-1-(4c+3)=0
We get rid of parentheses
6c-4c-3-1=0
We add all the numbers together, and all the variables
2c-4=0
We move all terms containing c to the left, all other terms to the right
2c=4
c=4/2
c=2
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