$$ \begin{aligned} 9(k-2) &= 3(k+4)&& \text{simplify left and right hand side} \\[1 em]9k-18 &= 3k+12&& \text{move the $ \color{blue}{ 3k } $ to the left side and $ \color{blue}{ -18 }$ to the right} \\[1 em]9k-3k &= 12+18&& \text{simplify left and right hand side} \\[1 em]6k &= 30&& \text{ divide both sides by $ 6 $ } \\[1 em]k &= \frac{30}{6}&& \\[1 em]k &= 5&& \\[1 em] \end{aligned} $$

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