Let’s solve the given expression step-by-step:

Given:
$27 + \left( \frac{-18}{-2} \right) (-2 + 5)(-2)$

Step 1: Simplify the division

$\frac{-18}{-2} = 9$

Now the expression becomes:
$27 + (9)(-2 + 5)(-2)$

Step 2: Simplify inside the parentheses

$-2 + 5 = 3$

Now the expression becomes:
$27 + (9)(3)(-2)$

Step 3: Perform multiplication

\quad \text{and} \quad 27 \times (-2) = -54$$ Now the expression becomes: $$27 + (-54)$$ ### Step 4: Perform the addition $$27 + (-54) = -27$$ ### Final Answer $$\boxed{-27}$$ Would you like further clarification on any of these steps? --- Here are 5 related questions you might find useful: 1. How do you handle operations with negative numbers? 2. What is the order of operations (PEMDAS)? 3. How do parentheses affect the evaluation of an expression? 4. How do multiplication and division of negative numbers work? 5. What strategies help avoid common mistakes in multi-step problems? **Tip:** Always resolve operations inside parentheses first, and follow the correct order of operations to avoid mistakes.