1. **State the problem:** Solve the equation $-2n + 32 = -4(8n - 8)$ for $n$. 2. **Apply the distributive property:** $$-2n + 32 = -4 \times 8n + (-4) \times (-8)$$ $$-2n + 32 = -32n + 32$$ 3. **Bring all terms involving $n$ to one side and constants to the other:** $$-2n + 32n = 32 - 32$$ 4. **Simplify both sides:** $$30n = 0$$ 5. **Solve for $n$ by dividing both sides by 30:** $$n = \frac{0}{30}$$ $$n = 0$$ **Final answer:** $n = 0$