1. **State the problem:** Expand and simplify the expression $$3(c - 7) + 2(3c + 4)$$. 2. **Use the distributive property:** Multiply each term inside the parentheses by the factor outside. $$3(c - 7) = 3 \times c - 3 \times 7 = 3c - 21$$ $$2(3c + 4) = 2 \times 3c + 2 \times 4 = 6c + 8$$ 3. **Rewrite the expression:** $$3c - 21 + 6c + 8$$ 4. **Combine like terms:** Add the coefficients of $c$ and the constants separately. $$3c + 6c = 9c$$ $$-21 + 8 = -13$$ 5. **Final simplified expression:** $$9c - 13$$ This is the expanded and simplified form of the original expression.