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4(7c+1)-47=22c+5
We move all terms to the left:
4(7c+1)-47-(22c+5)=0
We multiply parentheses
28c-(22c+5)+4-47=0
We get rid of parentheses
28c-22c-5+4-47=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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