$$ \begin{aligned} 4a+3 &= -(4a-3)&& \text{simplify right side} \\[1 em]4a+3 &= -4a+3&& \text{move the $ \color{blue}{ -4a } $ to the left side and $ \color{blue}{ 3 }$ to the right} \\[1 em]4a+4a &= 3-3&& \text{simplify left and right hand side} \\[1 em]8a &= 0&& \text{ divide both sides by $ 8 $ } \\[1 em]a &= \frac{0}{8}&& \\[1 em]a &= 0&& \\[1 em] \end{aligned} $$

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