$$ \begin{aligned} 8x+\frac{3}{4} &= 0&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4\cdot8x+4\cdot\frac{3}{4} &= 4\cdot0&& \text{cancel out the denominators} \\[1 em]32x+3 &= 0&& \text{ move the constants to the right } \\[1 em]32x &= -3&& \text{ divide both sides by $ 32 $ } \\[1 em]x &= -\frac{3}{32}&& \\[1 em] \end{aligned} $$
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