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10-4c=-6c-9
We move all terms to the left:
10-4c-(-6c-9)=0
We get rid of parentheses
-4c+6c+9+10=0
We add all the numbers together, and all the variables
2c+19=0
We move all terms containing c to the left, all other terms to the right
2c=-19
c=-19/2
c=-9+1/2
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