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47=6c-1
We move all terms to the left:
47-(6c-1)=0
We get rid of parentheses
-6c+1+47=0
We add all the numbers together, and all the variables
-6c+48=0
We move all terms containing c to the left, all other terms to the right
-6c=-48
c=-48/-6
c=+8
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