1. **State the problem:** Simplify the expression $10p - 4(8p - 2)$. 2. **Apply the distributive property:** Multiply $-4$ by each term inside the parentheses: $$10p - 4 \times 8p + 4 \times 2$$ 3. **Calculate the multiplication:** $$10p - 32p + 8$$ 4. **Combine like terms:** $10p$ and $-32p$ are like terms, so add their coefficients: $$\cancel{10p} - \cancel{32p} = (10 - 32)p = -22p$$ 5. **Write the simplified expression:** $$-22p + 8$$ **Final answer:** $-22p + 8$