$$ \begin{aligned} \frac{1}{4}(32d+8) &= d+9&& \text{simplify left side} \\[1 em]\frac{32d+8}{4} &= d+9&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4 \cdot \frac{32d+8}{4} &= 4d+4\cdot9&& \text{cancel out the denominators} \\[1 em]32d+8 &= 4d+36&& \text{move the $ \color{blue}{ 4d } $ to the left side and $ \color{blue}{ 8 }$ to the right} \\[1 em]32d-4d &= 36-8&& \text{simplify left and right hand side} \\[1 em]28d &= 28&& \text{ divide both sides by $ 28 $ } \\[1 em]d &= \frac{28}{28}&& \\[1 em]d &= 1&& \\[1 em] \end{aligned} $$

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