1. **State the problem:** Solve the equation $-8w = -6(2w - 8)$ and determine the number of solutions. 2. **Write the equation:** $$-8w = -6(2w - 8)$$ 3. **Distribute the right side:** $$-8w = -6 \times 2w + (-6) \times (-8)$$ $$-8w = -12w + 48$$ 4. **Bring all terms involving $w$ to one side:** Add $12w$ to both sides: $$-8w + 12w = -12w + 12w + 48$$ $$4w = 48$$ 5. **Solve for $w$ by dividing both sides by 4:** $$w = \frac{48}{4}$$ $$w = 12$$ 6. **Interpretation:** Since we found a single value for $w$, the equation has exactly one solution. **Final answer:** The equation has one solution, $w = 12$.