$$ \begin{aligned} 14 &= \frac{n}{3}-1&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3\cdot14 &= 3 \cdot \frac{n}{3}-3\cdot1&& \text{cancel out the denominators} \\[1 em]42 &= n-3&& \text{ swap the left and right side of the equation } \\[1 em]n-3 &= 42&& \text{ move -3 to the right } \\[1 em]n &= 42+3&& \\[1 em]n &= 45&& \\[1 em]n &= 45&& \\[1 em] \end{aligned} $$

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