$$ \begin{aligned} 2 &= -3(z+7)-16&& \text{simplify right side} \\[1 em]2 &= -(3z+21)-16&& \\[1 em]2 &= -3z-21-16&& \\[1 em]2 &= -3z-37&& \text{ swap the left and right side of the equation } \\[1 em]-3z-37 &= 2&& \text{ move -37 to the right } \\[1 em]-3z &= 2+37&& \\[1 em]-3z &= 39&& \text{ divide both sides by $ -3 $ } \\[1 em]z &= -\frac{39}{3}&& \\[1 em]z &= -13&& \\[1 em] \end{aligned} $$
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