1. **State the problem:** Expand and simplify the expression $4(3k + 4) - 2(k + 2)$. 2. **Use the distributive property:** Multiply each term inside the parentheses by the factor outside. $$4(3k + 4) = 4 \times 3k + 4 \times 4 = 12k + 16$$ $$-2(k + 2) = -2 \times k - 2 \times 2 = -2k - 4$$ 3. **Combine the results:** $$12k + 16 - 2k - 4$$ 4. **Simplify by combining like terms:** Combine the $k$ terms: $12k - 2k = 10k$ Combine the constants: $16 - 4 = 12$ 5. **Final simplified expression:** $$10k + 12$$ This is the fully expanded and simplified form of the original expression.