1. **Simplify the expression (6k − 4) + (2k + 4):** Combine like terms: $6k + 2k = 8k$ and $-4 + 4 = 0$ So, the expression simplifies to $8k + 0 = 8k$. 2. **Simplify the expression (2a + 1) − (4a + 2):** Distribute the minus sign: $2a + 1 - 4a - 2$ Combine like terms: $2a - 4a = -2a$ and $1 - 2 = -1$ So, the expression simplifies to $-2a - 1$. 3. **Simplify the expression (b − 6) − (2 − 5b) + (b + 4):** Distribute minus: $b - 6 - 2 + 5b + b + 4$ Combine like terms: $b + 5b + b = 7b$ and $-6 - 2 + 4 = -4$ So, the expression simplifies to $7b - 4$. 4. **Simplify the expression (g + 12) + (g − 7) − (2 − 3g):** Distribute minus: $g + 12 + g - 7 - 2 + 3g$ Combine like terms: $g + g + 3g = 5g$ and $12 - 7 - 2 = 3$ So, the expression simplifies to $5g + 3$. 5. **Simplify the expression (x^2 + 2x + 1) + (2x^2 + 4):** Combine like terms: $x^2 + 2x^2 = 3x^2$, $2x$ remains, and $1 + 4 = 5$ So, the expression simplifies to $3x^2 + 2x + 5$. 6. **Simplify the expression (2m^2 + m + 12) − (3m^2 + 4m − 6):** Distribute minus: $2m^2 + m + 12 - 3m^2 - 4m + 6$ Combine like terms: $2m^2 - 3m^2 = -m^2$, $m - 4m = -3m$, and $12 + 6 = 18$ So, the expression simplifies to $-m^2 - 3m + 18$. **Final answers:** a) $8k$ b) $-2a - 1$ c) $7b - 4$ d) $5g + 3$ e) $3x^2 + 2x + 5$ f) $-m^2 - 3m + 18$