1. **State the problem:** Simplify the expression $$-5(1-5k)-4(2k+5)$$ to find an equivalent expression. 2. **Apply the distributive property:** Multiply each term inside the parentheses by the factor outside. $$-5(1-5k) = -5 \times 1 + (-5) \times (-5k) = -5 + 25k$$ $$-4(2k+5) = -4 \times 2k + (-4) \times 5 = -8k - 20$$ 3. **Combine the results:** $$-5 + 25k - 8k - 20$$ 4. **Group like terms:** $$25k - 8k + (-5 - 20)$$ 5. **Simplify:** $$ (25k - 8k) + (-5 - 20) = 17k - 25$$ **Final answer:** $$17k - 25$$ corresponds to option D.