The expression from the image is:

$13 - 4 \left[ -(3 - 5) + (-3 - 2) - (-2) \cdot 3 \right]$

Let's break it down and solve it step by step:

1. Solve inside the parentheses: $3 - 5 = -2$ $-3 - 2 = -5$

2. Now substitute back into the expression: $13 - 4 \left[ -(-2) + (-5) - (-2) \cdot 3 \right]$

3. Simplify the negative signs and multiplication: $-(-2) = 2$ $(-2) \cdot 3 = -6$

4. Substitute and simplify: [ 13 - 4 \left[ 2 + (-5) - (-6) \right] = 13 - 4 \left[ 2 - 5 + 6 \right] ] $2 - 5 + 6 = 3$

5. Now substitute back: $13 - 4 \left[ 3 \right]$

6. Final calculation: $13 - 4 \cdot 3 = 13 - 12 = 1$

Thus, the value of the expression is 1.

Would you like more details, or have any questions about the steps?

Here are 5 related questions to deepen your understanding:

1. How would the solution change if one of the negative signs was altered?
2. Can you explain why we prioritize parentheses first when solving such problems?
3. What is the importance of simplifying signs like $-(-2)$ to $2$?
4. How would you solve this if additional terms were added inside the brackets?
5. What other types of operations can affect the order of solving expressions?

Tip: Always resolve the operations inside the parentheses first, and be careful with negative signs to avoid mistakes!