1. The problem is to simplify the expression $$-5(3p+3)+9(-7+p)$$ to find an equivalent expression. 2. Use the distributive property: $$a(b+c) = ab + ac$$ to expand both terms. 3. Expand $$-5(3p+3)$$: $$-5 \times 3p = -15p$$ $$-5 \times 3 = -15$$ So, $$-5(3p+3) = -15p - 15$$ 4. Expand $$9(-7+p)$$: $$9 \times -7 = -63$$ $$9 \times p = 9p$$ So, $$9(-7+p) = -63 + 9p$$ 5. Combine the expanded expressions: $$-15p - 15 + (-63 + 9p) = -15p - 15 - 63 + 9p$$ 6. Group like terms: $$(-15p + 9p) + (-15 - 63) = (-6p) + (-78)$$ 7. Simplify: $$-6p - 78$$ The equivalent simplified expression is $$-6p - 78$$. Answer choice B is correct.