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