1. **State the problem:** Solve the equation $$-\frac{2}{3}n + 7 = 15$$ for $n$. 2. **Subtract 7 from both sides:** $$-\frac{2}{3}n + 7 - 7 = 15 - 7$$ $$-\frac{2}{3}n = 8$$ 3. **Multiply both sides by the reciprocal of $-\frac{2}{3}$, which is $-\frac{3}{2}$:** $$n = 8 \times -\frac{3}{2}$$ 4. **Calculate:** $$n = -12$$ --- **Final answer:** $$n = -12$$