$$ \begin{aligned} \frac{9}{5}+\frac{\frac{c}{2}}{5} &= 0&& \text{multiply ALL terms by } \color{blue}{ 10 }. \\[1 em]10\cdot\frac{9}{5}+10\frac{\frac{c}{2}}{5} &= 10\cdot0&& \text{cancel out the denominators} \\[1 em]18+c &= 0&& \text{ move the constants to the right } \\[1 em]c &= -18&& \\[1 em]c &= -18&& \\[1 em] \end{aligned} $$
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