$$ \begin{aligned} \frac{1}{3}(-6k+36) &= 6+15k&& \text{simplify left and right hand side} \\[1 em]\frac{-6k+36}{3} &= 15k+6&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3 \cdot \frac{-6k+36}{3} &= 3\cdot15k+3\cdot6&& \text{cancel out the denominators} \\[1 em]-6k+36 &= 45k+18&& \text{move the $ \color{blue}{ 45k } $ to the left side and $ \color{blue}{ 36 }$ to the right} \\[1 em]-6k-45k &= 18-36&& \text{simplify left and right hand side} \\[1 em]-51k &= -18&& \text{ divide both sides by $ -51 $ } \\[1 em]k &= \frac{-18}{-51}&& \\[1 em]k &= \frac{6}{17}&& \\[1 em] \end{aligned} $$

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