https://file.aiquickdraw.com/mathbot/file/1726273575098ps4233dl.jpg

I see the three problems presented in the image. Let's go through them one by one.

### Problem (10): 
\[
-7a - (-2a + 4b)
\]

1. Distribute the negative sign through the parentheses:  
\[
-7a - (-2a + 4b) = -7a + 2a - 4b
\]
2. Combine like terms:  
\[
-7a + 2a = -5a
\]
Thus, the simplified expression is:
\[
-5a - 4b
\]

### Problem (11): 
\[
3a - (b + 5a)
\]

1. Distribute the negative sign through the parentheses:  
\[
3a - (b + 5a) = 3a - b - 5a
\]
2. Combine like terms:  
\[
3a - 5a = -2a
\]
Thus, the simplified expression is:
\[
-2a - b
\]

### Problem (12): 
\[
(3a + 2) - (-a + 5)
\]

1. Distribute the negative sign through the parentheses:  
\[
(3a + 2) - (-a + 5) = 3a + 2 + a - 5
\]
2. Combine like terms:  
\[
3a + a = 4a
\]
\[
2 - 5 = -3
\]
Thus, the simplified expression is:
\[
4a - 3
\]

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Would you like further clarification on any of these steps?

Here are 5 related questions to deepen your understanding:
1. How do you handle distribution when there is a negative sign outside parentheses?
2. What is the importance of combining like terms in algebraic expressions?
3. How can you identify like terms quickly in complex expressions?
4. What would happen if you incorrectly distribute a negative sign in an equation?
5. Can these simplified expressions be factored further, and why or why not?

**Tip**: Always pay close attention to signs when distributing; small mistakes with negatives can lead to incorrect solutions!

Simplify the following expressions:
(10) -7a - (-2a + 4b)
(11) 3a - (b + 5a)
(12) (3a + 2) - (-a + 5)

Learn how to simplify algebraic expressions such as -7a - (-2a + 4b), 3a - (b + 5a), and (3a + 2) - (-a + 5) with step-by-step explanations. This covers key algebraic techniques, including distribution and combining like terms. Ideal for students in Grades 7-9.

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