$$ \begin{aligned} -\frac{1}{3}n+\frac{\frac{1}{31}}{5} &= 0&& \text{multiply ALL terms by } \color{blue}{ 465 }. \\[1 em]-465 \cdot \frac{1}{3}n+465\frac{\frac{1}{31}}{5} &= 465\cdot0&& \text{cancel out the denominators} \\[1 em]-155n+3 &= 0&& \text{ move the constants to the right } \\[1 em]-155n &= -3&& \text{ divide both sides by $ -155 $ } \\[1 em]n &= \frac{-3}{-155}&& \\[1 em]n &= \frac{3}{155}&& \\[1 em] \end{aligned} $$

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