1. **State the problem:** Simplify the expression $$(9x+3)(-2x-2)$$. 2. **Formula used:** Use the distributive property (also known as FOIL for binomials): $$ (a+b)(c+d) = ac + ad + bc + bd $$ 3. **Apply the distributive property:** $$ (9x+3)(-2x-2) = 9x \cdot (-2x) + 9x \cdot (-2) + 3 \cdot (-2x) + 3 \cdot (-2) $$ 4. **Calculate each term:** $$ 9x \cdot (-2x) = -18x^2 $$ $$ 9x \cdot (-2) = -18x $$ $$ 3 \cdot (-2x) = -6x $$ $$ 3 \cdot (-2) = -6 $$ 5. **Combine all terms:** $$ -18x^2 - 18x - 6x - 6 $$ 6. **Simplify like terms:** $$ -18x^2 - (18x + 6x) - 6 = -18x^2 - 24x - 6 $$ **Final answer:** $$ \boxed{-18x^2 - 24x - 6} $$