1. **State the problem:** Simplify the expression $$-5(3p+3)+9(-7+p)$$ to find an equivalent expression. 2. **Apply the distributive property:** Multiply each term inside the parentheses by the factor outside. $$-5(3p+3) = -5 \times 3p + (-5) \times 3 = -15p - 15$$ $$9(-7+p) = 9 \times (-7) + 9 \times p = -63 + 9p$$ 3. **Combine the results:** $$-15p - 15 - 63 + 9p$$ 4. **Group like terms:** $$(-15p + 9p) + (-15 - 63)$$ 5. **Simplify each group:** $$-6p - 78$$ 6. **Final answer:** The equivalent simplified expression is $$-6p - 78$$. This matches option B.