Question
$$4k+9 = 9k+1$$
Answer
$$ k = \dfrac{8}{5} $$
Explanation
$$ \begin{aligned} 4k+9 &= 9k+1&& \text{move the $ \color{blue}{ 9k } $ to the left side and $ \color{blue}{ 9 }$ to the right} \\[1 em]4k-9k &= 1-9&& \text{simplify left and right hand side} \\[1 em]-5k &= -8&& \text{ divide both sides by $ -5 $ } \\[1 em]k &= \frac{-8}{-5}&& \\[1 em]k &= \frac{8}{5}&& \\[1 em] \end{aligned} $$
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