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(4c-39)+(c+14)=c+44
We move all terms to the left:
(4c-39)+(c+14)-(c+44)=0
We get rid of parentheses
4c+c-c-39+14-44=0
We add all the numbers together, and all the variables
4c-69=0
We move all terms containing c to the left, all other terms to the right
4c=69
c=69/4
c=17+1/4
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