Question
$$5\cdot3+n\cdot4 = 5\cdot(3+4)$$
Answer
$$ n = 5 $$
Explanation
$$ \begin{aligned} 5\cdot3+n\cdot4 &= 5\cdot(3+4)&& \text{simplify left and right hand side} \\[1 em]15+4n &= 5\cdot7&& \\[1 em]4n+15 &= 35&& \text{ move 15 to the right } \\[1 em]4n &= 35-15&& \\[1 em]4n &= 20&& \text{ divide both sides by $ 4 $ } \\[1 em]n &= \frac{20}{4}&& \\[1 em]n &= 5&& \\[1 em] \end{aligned} $$
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