$$ \begin{aligned} 8z+6 &= 10z&& \text{move the $ \color{blue}{ 10z } $ to the left side and $ \color{blue}{ 6 }$ to the right} \\[1 em]8z-10z &= -6&& \text{simplify left side} \\[1 em]-2z &= -6&& \text{ divide both sides by $ -2 $ } \\[1 em]z &= \frac{-6}{-2}&& \\[1 em]z &= 3&& \\[1 em] \end{aligned} $$
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