https://file.aiquickdraw.com/mathbot/file/1726515788259r1nkimuu.jpg

Let's work through the given expression step by step.

The expression is:
\[
(3x + y) - (2z + 7) - (3r - 5s + 2)
\]

### Step 1: Distribute the negative signs
We need to remove the parentheses by distributing the negative signs in front of the second and third sets of parentheses.

\[
= 3x + y - (2z + 7) - (3r - 5s + 2)
\]
Distribute the negative sign over \((2z + 7)\):
\[
= 3x + y - 2z - 7 - (3r - 5s + 2)
\]
Now distribute the negative sign over \((3r - 5s + 2)\):
\[
= 3x + y - 2z - 7 - 3r + 5s - 2
\]

### Step 2: Combine like terms
We combine the constants \(-7\) and \(-2\):
\[
= 3x + y - 2z - 3r + 5s - 9
\]

### Final expression:
\[
3x + y - 2z - 3r + 5s - 9
\]

This corresponds to the last option in your image:
- **\( 3x + y - 2z - 9 - 3r + 5s \)**

Thus, the correct answer is the last option.

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Do you have any questions or need further clarification? 

Here are five related questions you might want to explore:
1. How do you distribute negative signs across parentheses?
2. What are the steps for combining like terms in an expression?
3. How do you handle subtraction with multiple terms inside parentheses?
4. What would change in the final expression if the signs inside parentheses were different?
5. How can we verify the correctness of our simplification?

**Tip**: When removing parentheses, always pay close attention to the signs in front of each set of parentheses!

Remove the parentheses from the expression: (3x + y) - (2z + 7) - (3r - 5s + 2)

Learn how to remove parentheses and simplify expressions like (3x + y) - (2z + 7) - (3r - 5s + 2). This problem demonstrates the distributive property and how to combine like terms. Suitable for students in Grades 7-9.

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