$$ \begin{aligned} -3(r+9) &= -43&& \text{simplify left side} \\[1 em]-(3r+27) &= -43&& \\[1 em]-3r-27 &= -43&& \text{ move -27 to the right } \\[1 em]-3r &= -43+27&& \\[1 em]-3r &= -16&& \text{ divide both sides by $ -3 $ } \\[1 em]r &= \frac{-16}{-3}&& \\[1 em]r &= \frac{16}{3}&& \\[1 em] \end{aligned} $$
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