1. **State the problem:** Simplify the expression $$(3c + 2)(8c - 5)$$. 2. **Use the distributive property (FOIL method):** Multiply each term in the first parenthesis by each term in the second. 3. **Calculate each product:** - First: $3c \times 8c = 24c^2$ - Outer: $3c \times (-5) = -15c$ - Inner: $2 \times 8c = 16c$ - Last: $2 \times (-5) = -10$ 4. **Combine all terms:** $$24c^2 - 15c + 16c - 10$$ 5. **Simplify like terms:** $$24c^2 + (\cancel{-15c} + \cancel{16c}) - 10 = 24c^2 + 1c - 10$$ 6. **Final simplified expression:** $$\boxed{24c^2 + c - 10}$$