To simplify the expression $-2(a + b) + 10 + 2(a + b)$:

Step 1: Distribute the terms

Distribute the $-2$ and $2$ across $(a + b)$: $-2(a + b) = -2a - 2b$ $2(a + b) = 2a + 2b$ So the expression becomes: $(-2a - 2b) + 10 + (2a + 2b)$

Step 2: Combine like terms

• Combine $-2a + 2a$: This equals $0$.
• Combine $-2b + 2b$: This equals $0$.
• The remaining term is $10$.

Final Simplified Expression:

$10$

Let me know if you'd like more details or have any questions!

---

5 Related Questions:

1. How would this change if the coefficients were different, e.g., $-3(a + b) + 2(a + b)$?
2. What if there were more variables in the parentheses, such as $(a + b + c)$?
3. How do you simplify expressions with exponents?
4. Can you explain the distributive property in more detail with another example?
5. How do you handle nested parentheses in expressions like this?

Tip: Always simplify step-by-step to avoid mistakes, especially when distributing negative signs!