Let's solve the new expression:

\[
-9 - 2(2 - 5) \div (-6)
\]

### Step 1: Simplify inside the parentheses
\[
2 - 5 = -3
\]
Now the expression becomes:
\[
-9 - 2(-3) \div (-6)
\]

### Step 2: Perform the multiplication
\[
-2(-3) = 6
\]
So the expression now is:
\[
-9 + 6 \div (-6)
\]

### Step 3: Perform the division
\[
6 \div (-6) = -1
\]
Now, the expression is:
\[
-9 - 1
\]

### Step 4: Simplify the expression
\[
-9 - 1 = -10
\]

So, the final answer is \(-10\).

Would you like more details or have any questions about this solution?

Here are five related questions to consider:

1. How do you handle negative signs when simplifying expressions?
2. What is the difference between multiplication and division when working with negative numbers?
3. How do you approach multi-step problems involving both multiplication and division?
4. Why is it important to follow the correct order of operations?
5. How do negative numbers affect the outcome of arithmetic operations?

**Tip:** Remember to always perform division and multiplication before subtraction and addition, following the correct order of operations.

Learn how to solve the arithmetic expression -9 - 2(2 - 5) ÷ (-6) step-by-step with detailed explanations. This problem involves arithmetic operations, negative numbers, and order of operations principles. Suitable for students in Grades 6-8.

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