1. The problem is to solve the equation $$\frac{n - 5}{3} = 6$$ for $n$. 2. To eliminate the fraction, multiply both sides of the equation by 3: $$3 \times \frac{n - 5}{3} = 3 \times 6$$ which simplifies to $$n - 5 = 18$$ 3. Next, add 5 to both sides to isolate $n$: $$n - 5 + 5 = 18 + 5$$ which simplifies to $$n = 23$$ 4. Therefore, the solution to the equation is $$n = 23$$. --- Now, solve $$\frac{x - 5}{4} = 3$$ for $x$. 5. Multiply both sides of the equation by 4 to remove the denominator: $$4 \times \frac{x - 5}{4} = 4 \times 3$$ which simplifies to $$x - 5 = 12$$ 6. Add 5 to both sides: $$x - 5 + 5 = 12 + 5$$ which simplifies to $$x = 17$$ 7. Therefore, the solution for the second equation is $$x = 17$$.