$$ \begin{aligned} 8a+9 &= 4a-3&& \text{move the $ \color{blue}{ 4a } $ to the left side and $ \color{blue}{ 9 }$ to the right} \\[1 em]8a-4a &= -3-9&& \text{simplify left and right hand side} \\[1 em]4a &= -12&& \text{ divide both sides by $ 4 $ } \\[1 em]a &= -\frac{12}{4}&& \\[1 em]a &= -3&& \\[1 em] \end{aligned} $$
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