1. **State the problem:** Solve the equation $-4(p + 2) + 8 = 2(p - 1) - 7p + 15$ for $p$. 2. **Apply the distributive property:** $$-4p - 8 + 8 = 2p - 2 - 7p + 15$$ 3. **Simplify both sides:** $$-4p = 2p - 7p - 2 + 15$$ $$-4p = -5p + 13$$ 4. **Isolate the variable $p$ by adding $5p$ to both sides:** $$-4p + 5p = 13$$ $$p = 13$$ 5. **Final answer:** $$p = 13$$ This means the value of $p$ that satisfies the equation is 13.