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10c-6c+3c-4c+4c=7
We move all terms to the left:
10c-6c+3c-4c+4c-(7)=0
We add all the numbers together, and all the variables
7c-7=0
We move all terms containing c to the left, all other terms to the right
7c=7
c=7/7
c=1
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