1. **State the problem:** Expand and simplify the expression $$(3p - 7)(4p - 8)$$. 2. **Apply the distributive property (FOIL method):** Multiply each term in the first parenthesis by each term in the second parenthesis. $$3p \times 4p = 12p^2$$ $$3p \times (-8) = -24p$$ $$-7 \times 4p = -28p$$ $$-7 \times (-8) = 56$$ 3. **Combine all terms:** $$12p^2 - 24p - 28p + 56$$ 4. **Simplify like terms:** $$12p^2 - (24p + 28p) + 56 = 12p^2 - 52p + 56$$ 5. **Final answer:** $$12p^2 - 52p + 56$$