$$ \begin{aligned} 4k-\frac{3}{5} &= 0&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5\cdot4k-5\cdot\frac{3}{5} &= 5\cdot0&& \text{cancel out the denominators} \\[1 em]20k-3 &= 0&& \text{ move the constants to the right } \\[1 em]20k &= 3&& \text{ divide both sides by $ 20 $ } \\[1 em]k &= \frac{3}{20}&& \\[1 em] \end{aligned} $$

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