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-5c+9=6c-57
We move all terms to the left:
-5c+9-(6c-57)=0
We get rid of parentheses
-5c-6c+57+9=0
We add all the numbers together, and all the variables
-11c+66=0
We move all terms containing c to the left, all other terms to the right
-11c=-66
c=-66/-11
c=+6
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