Question
$$6n+3 = 13n+45$$
Answer
$$ n = -6 $$
Explanation
$$ \begin{aligned} 6n+3 &= 13n+45&& \text{move the $ \color{blue}{ 13n } $ to the left side and $ \color{blue}{ 3 }$ to the right} \\[1 em]6n-13n &= 45-3&& \text{simplify left and right hand side} \\[1 em]-7n &= 42&& \text{ divide both sides by $ -7 $ } \\[1 em]n &= -\frac{42}{7}&& \\[1 em]n &= -6&& \\[1 em] \end{aligned} $$
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