$$ \begin{aligned} -5d+\frac{51}{217} &= 0&& \text{multiply ALL terms by } \color{blue}{ 217 }. \\[1 em]-217\cdot5d+217\cdot\frac{51}{217} &= 217\cdot0&& \text{cancel out the denominators} \\[1 em]-1085d+51 &= 0&& \text{ move the constants to the right } \\[1 em]-1085d &= -51&& \text{ divide both sides by $ -1085 $ } \\[1 em]d &= \frac{-51}{-1085}&& \\[1 em]d &= \frac{51}{1085}&& \\[1 em] \end{aligned} $$

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