$$ \begin{aligned} -d+10 &= 5d-8&& \text{move the $ \color{blue}{ 5d } $ to the left side and $ \color{blue}{ 10 }$ to the right} \\[1 em]-d-5d &= -8-10&& \text{simplify left and right hand side} \\[1 em]-6d &= -18&& \text{ divide both sides by $ -6 $ } \\[1 em]d &= \frac{-18}{-6}&& \\[1 em]d &= 3&& \\[1 em] \end{aligned} $$
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