$$ \begin{aligned} 174 &= 48n-18&& \text{ swap the left and right side of the equation } \\[1 em]48n-18 &= 174&& \text{ move -18 to the right } \\[1 em]48n &= 174+18&& \\[1 em]48n &= 192&& \text{ divide both sides by $ 48 $ } \\[1 em]n &= \frac{192}{48}&& \\[1 em]n &= 4&& \\[1 em] \end{aligned} $$