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6(5c-2)=78
We move all terms to the left:
6(5c-2)-(78)=0
We multiply parentheses
30c-12-78=0
We add all the numbers together, and all the variables
30c-90=0
We move all terms containing c to the left, all other terms to the right
30c=90
c=90/30
c=3
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