Answer
$$c=-1,\:b=4,\:a=3$$
Work Step by Step
Solving the system of equations using substitution, we find:
$$ 7\left(6+3c\right)-3\left(2-2c\right)-5c=14 \\ c=-1 \\ b=2-2\left(-1\right)=4 \\ a=6+3\left(-1\right)=3$$
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