$$ \begin{aligned} 5k+9 &= 43k+2541&& \text{move the $ \color{blue}{ 43k } $ to the left side and $ \color{blue}{ 9 }$ to the right} \\[1 em]5k-43k &= 2541-9&& \text{simplify left and right hand side} \\[1 em]-38k &= 2532&& \text{ divide both sides by $ -38 $ } \\[1 em]k &= -\frac{2532}{38}&& \\[1 em]k &= -\frac{1266}{19}&& \\[1 em] \end{aligned} $$

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