Let's simplify the expression step by step.

Given:

\[
2 - 5 \left(-3 \left(3 - 5\right) - 2 \left(2 - 3\right)\right)
\]

### Step 1: Simplify the innermost parentheses.
- Inside the first parentheses: \( 3 - 5 = -2 \)
- Inside the second parentheses: \( 2 - 3 = -1 \)

Now, substitute these values back:

\[
2 - 5 \left(-3 \left(-2\right) - 2 \left(-1\right)\right)
\]

### Step 2: Multiply inside the parentheses.
- Multiply \( -3 \times -2 = 6 \)
- Multiply \( -2 \times -1 = 2 \)

Substitute these values back:

\[
2 - 5 \left(6 + 2\right)
\]

### Step 3: Add the values inside the parentheses.
- \( 6 + 2 = 8 \)

Now the expression is:

\[
2 - 5 \times 8
\]

### Step 4: Perform the multiplication.
- \( 5 \times 8 = 40 \)

So the expression is now:

\[
2 - 40
\]

### Step 5: Perform the subtraction.

\[
2 - 40 = -38
\]

So, the final simplified value of the expression is:

\[
\boxed{-38}
\]

Would you like more details or have any questions? 

Here are five related questions for practice:
1. Simplify \( 4 + 2 \left(5 - 3\left(1 - 4\right)\right) \).
2. Solve \( 7 - 3 \left(2 \left(4 - 6\right) + 3\left(5 - 2\right)\right) \).
3. Evaluate \( 6 - 4 \left(-2 \left(3 - 7\right) + 1\right) \).
4. Simplify \( 3 \times \left(2 - 4 \left(5 - 7\right)\right) \).
5. Solve \( 8 - 5 \left(-3 \left(4 - 6\right) - 2\right) \).

**Tip:** Always perform operations inside the parentheses first, following the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

Learn how to simplify the expression 2 - 5(-3(3 - 5) - 2(2 - 3)) step-by-step with detailed explanations. This problem involves arithmetic operations with parentheses and multiplication. Suitable for students in Grades 7-9.

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