$$ \begin{aligned} 10j+9 &= 4j-9&& \text{move the $ \color{blue}{ 4j } $ to the left side and $ \color{blue}{ 9 }$ to the right} \\[1 em]10j-4j &= -9-9&& \text{simplify left and right hand side} \\[1 em]6j &= -18&& \text{ divide both sides by $ 6 $ } \\[1 em]j &= -\frac{18}{6}&& \\[1 em]j &= -3&& \\[1 em] \end{aligned} $$
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