Let's solve the given expression step by step:

The expression is:

\[
\frac{15 + 3}{9} \cdot (-5 - (-2))
\]

1. **Simplify the numerator and the denominator**:
   \[
   15 + 3 = 18
   \]
   \[
   \frac{18}{9} = 2
   \]

2. **Simplify the expression inside the parentheses**:
   \[
   -5 - (-2) = -5 + 2 = -3
   \]

3. **Multiply the results**:
   \[
   2 \cdot (-3) = -6
   \]

So, the final answer is:

\[
\boxed{-6}
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. What is the value of \( \frac{20 + 10}{5} \times (7 - 4) \)?
2. How would the result change if we replaced \( -5 \) with \( 5 \) in the original expression?
3. What happens if we divide by a larger number, such as \( \frac{18}{27} \), in the first part of the expression?
4. Can you solve \( \frac{12 - 4}{4} \times (-7 + 3) \)?
5. How do you handle multiple negative signs in expressions like \( (-8 - (-3)) \times \frac{21 - 9}{6} \)?

**Tip:** When dealing with multiple operations, carefully simplify each part step by step, especially when working with negative signs and fractions.

Learn how to solve the expression \( \frac{15 + 3}{9} \cdot (-5 - (-2)) \) step-by-step with detailed arithmetic operations involving fractions and negative numbers. Suitable for students in Grades 6-8.

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