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.