Question
$$16a+9 = 916a$$
Answer
$$ a = \dfrac{1}{100} $$
Explanation
$$ \begin{aligned} 16a+9 &= 916a&& \text{move the $ \color{blue}{ 916a } $ to the left side and $ \color{blue}{ 9 }$ to the right} \\[1 em]16a-916a &= -9&& \text{simplify left side} \\[1 em]-900a &= -9&& \text{ divide both sides by $ -900 $ } \\[1 em]a &= \frac{-9}{-900}&& \\[1 em]a &= \frac{1}{100}&& \\[1 em] \end{aligned} $$
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