1. **State the problem:** Solve the equation $-4(u - 6) = -6u + 28$ for $u$. 2. **Apply the distributive property:** Multiply $-4$ by each term inside the parentheses. $$-4(u - 6) = -4u + 24$$ So the equation becomes: $$-4u + 24 = -6u + 28$$ 3. **Isolate variable terms on one side:** Add $6u$ to both sides to get all $u$ terms on the left. $$-4u + 6u + 24 = -6u + 6u + 28$$ $$2u + 24 = 28$$ 4. **Isolate the constant term:** Subtract $24$ from both sides. $$2u + 24 - 24 = 28 - 24$$ $$2u = 4$$ 5. **Solve for $u$ by dividing both sides by 2:** $$u = \frac{4}{2}$$ $$u = 2$$ **Final answer:** $u = 2$