https://r2.erweima.ai/mathbot/image/1727029585309wl5cspik.jpg

I can see the mathematical expressions provided in the image. Let's go step-by-step to solve these numerical expressions. I'll begin by solving the first one, and then we can proceed further.

The first expression is:

\[
- \left[ -5 + (4 - 1) \right] - \left\{ 2 - \left[ 8 - (3 + 2) \right] + (5 - 9) - (-3) \right\}
\]

Let's simplify it step-by-step.

### 1. Solve \(-5 + (4 - 1)\):
\[
4 - 1 = 3 \quad \text{so} \quad -5 + 3 = -2
\]

Thus:
\[
- \left[ -5 + (4 - 1) \right] = -(-2) = 2
\]

### 2. Solve \(2 - \left[ 8 - (3 + 2) \right] + (5 - 9) - (-3)\):

\[
3 + 2 = 5 \quad \text{so} \quad 8 - 5 = 3
\]
Now:
\[
2 - 3 + (5 - 9) - (-3) = 2 - 3 - 4 + 3 = -2
\]

### Final result:

\[
2 - (-2) = 2 + 2 = 4
\]

Thus, the solution to the first expression is \(4\).

Would you like to proceed with solving the next one? Let me know if you'd like any further details on the steps.

Here are 5 related questions you might consider:
1. How does the order of operations affect multi-step expressions?
2. What is the role of parentheses and brackets in simplifying mathematical expressions?
3. How do negative signs interact with subtraction and parentheses?
4. Can simplifying parts of an expression first lead to mistakes if not done carefully?
5. Why is it important to handle operations inside brackets before dealing with outer operations?

**Tip**: Always simplify the innermost parentheses or brackets first when solving complex expressions.

Encuentre el valor numérico de las siguientes expresiones.

This problem involves solving complex arithmetic expressions with multiple layers of brackets, negative numbers, and subtraction. Follow a detailed, step-by-step process to evaluate the expressions correctly by applying the order of operations (PEMDAS).

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