Let's solve the expression step by step:

Given expression:
\[
\frac{-9 - 2(2 - 5)}{-6}
\]

### Step 1: Simplify inside the parentheses
\[
2 - 5 = -3
\]
So the expression becomes:
\[
\frac{-9 - 2(-3)}{-6}
\]

### Step 2: Multiply \(-2\) by \(-3\)
\[
-2(-3) = 6
\]
Now the expression is:
\[
\frac{-9 + 6}{-6}
\]

### Step 3: Simplify the numerator
\[
-9 + 6 = -3
\]
So we have:
\[
\frac{-3}{-6}
\]

### Step 4: Simplify the fraction
\[
\frac{-3}{-6} = \frac{1}{2}
\]

So, the final answer is \(\frac{1}{2}\).

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

Here are five related questions to consider:

1. How do you simplify expressions with multiple parentheses?
2. What are the rules for multiplying negative numbers?
3. How do you simplify complex fractions?
4. What is the importance of the order of operations in mathematics?
5. How can you simplify expressions involving both multiplication and division?

**Tip:** Always simplify expressions inside parentheses first and follow the order of operations (PEMDAS/BODMAS).

Learn how to solve the expression (-9 - 2(2 - 5)) / (-6) with a detailed step-by-step solution. This problem involves arithmetic operations and understanding fractions. Suitable for students in Grades 6-8.

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