$$ \begin{aligned} \frac{1}{3}(d+3) &= 5&& \text{simplify left side} \\[1 em]\frac{d+3}{3} &= 5&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3 \cdot \frac{d+3}{3} &= 3\cdot5&& \text{cancel out the denominators} \\[1 em]d+3 &= 15&& \text{ move 3 to the right } \\[1 em]d &= 15-3&& \\[1 em]d &= 12&& \\[1 em]d &= 12&& \\[1 em] \end{aligned} $$
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