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-7c+9=c+1=
We move all terms to the left:
-7c+9-(c+1)=0
We get rid of parentheses
-7c-c-1+9=0
We add all the numbers together, and all the variables
-8c+8=0
We move all terms containing c to the left, all other terms to the right
-8c=-8
c=-8/-8
c=1
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