$$ \begin{aligned} -\frac{29}{12}u-\frac{13}{3} &= 0&& \text{multiply ALL terms by } \color{blue}{ 12 }. \\[1 em]-12 \cdot \frac{29}{12}u-12\cdot\frac{13}{3} &= 12\cdot0&& \text{cancel out the denominators} \\[1 em]-29u-52 &= 0&& \text{ move the constants to the right } \\[1 em]-29u &= 52&& \text{ divide both sides by $ -29 $ } \\[1 em]u &= -\frac{52}{29}&& \\[1 em] \end{aligned} $$

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