1. **State the problem:** Simplify the expression $$-6(4q^2 - 4q - 3)$$. 2. **Formula and rules:** Use the distributive property: $$a(b + c + d) = ab + ac + ad$$. 3. **Apply the distributive property:** Multiply $$-6$$ by each term inside the parentheses: $$-6 \times 4q^2 = -24q^2$$ $$-6 \times (-4q) = +24q$$ $$-6 \times (-3) = +18$$ 4. **Write the simplified expression:** $$-24q^2 + 24q + 18$$ 5. **Explanation:** We multiplied each term inside the parentheses by $$-6$$, changing signs accordingly because multiplying by a negative number reverses the sign. **Final answer:** $$-24q^2 + 24q + 18$$