Let's break down the expression step by step:

Given expression:

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

### Step 1: Simplify the innermost parentheses
Start with the innermost expression \( 2 + 5 - 3 \):

\[
2 + 5 - 3 = 4
\]

Now substitute back into the expression:

\[
-2 \left( -2 - \left( -3 \times 4 + \left( 2 - 5 \right) \right) - \left( -1 \right) \right)
\]

### Step 2: Multiply and simplify further
Next, evaluate \( -3 \times 4 \) and \( 2 - 5 \):

\[
-3 \times 4 = -12
\]

\[
2 - 5 = -3
\]

Substituting these values back gives:

\[
-2 \left( -2 - \left( -12 + (-3) \right) - \left( -1 \right) \right)
\]

### Step 3: Simplify the expression inside the parentheses
Simplify \( -12 + (-3) \):

\[
-12 + (-3) = -15
\]

Now the expression is:

\[
-2 \left( -2 - (-15) - (-1) \right)
\]

Simplify further:

\[
-2 \left( -2 + 15 + 1 \right)
\]

### Step 4: Final simplifications
Simplify the terms inside the parentheses:

\[
-2 + 15 + 1 = 14
\]

So now the expression is:

\[
-2 \times 14 = -28
\]

### Final Answer:

\[
\boxed{-28}
\]

Would you like more details on any of these steps?

Here are five related questions:
1. How do you simplify nested parentheses in complex expressions?
2. What is the order of operations, and why is it important in simplifying expressions?
3. How do you handle negative signs when distributing across parentheses?
4. How does multiplying negative numbers affect the sign of the result?
5. Can you explain the difference between addition and subtraction of integers in expressions?

**Tip:** When dealing with complex expressions, always start by simplifying the innermost parentheses first and work your way outwards.

Learn how to simplify a complex arithmetic expression involving negative numbers step-by-step. This problem covers basic arithmetic operations, negative number handling, and the order of operations. Suitable for students in Grades 5-7.

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