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3(5c+2)-4(c-5)=3
We move all terms to the left:
3(5c+2)-4(c-5)-(3)=0
We multiply parentheses
15c-4c+6+20-3=0
We add all the numbers together, and all the variables
11c+23=0
We move all terms containing c to the left, all other terms to the right
11c=-23
c=-23/11
c=-2+1/11
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