$$ \begin{aligned} 65 &= -13(z+13)&& \text{simplify right side} \\[1 em]65 &= -(13z+169)&& \\[1 em]65 &= -13z-169&& \text{ swap the left and right side of the equation } \\[1 em]-13z-169 &= 65&& \text{ move -169 to the right } \\[1 em]-13z &= 65+169&& \\[1 em]-13z &= 234&& \text{ divide both sides by $ -13 $ } \\[1 em]z &= -\frac{234}{13}&& \\[1 em]z &= -18&& \\[1 em] \end{aligned} $$

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