Subtract 6 from both sides of the equation to isolate the term containing \( z \): \[ 6 - 4z - 6 = 14 - 6 \] \[ -4z = 8 \]
Divide both sides of the equation by \(-4\) to solve for \( z \): \[ \frac{-4z}{-4} = \frac{8}{-4} \] \[ z = -2 \]
\(\boxed{z = -2}\)
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