Let's analyze the given expression step by step:

Expression:
$-5| -4| - 3(-2) + 2$

1. Evaluating the absolute value:
   Since $|-4| = 4$, we have: $-5 \cdot 4 - 3(-2) + 2$

2. Multiplying $-5$ and $4$:
   $-20 - 3(-2) + 2$

3. Multiplying $-3$ and $-2$:
   $-20 + 6 + 2$

4. Adding $-20$, $6$, and $2$:
   $-20 + 6 = -14$
   $-14 + 2 = -12$

The correct answer is $-12$, not $-24$.

Would you like more details or clarification on any of the steps?

Here are 5 related questions for practice:

1. Simplify $-3 | -7 | + 5 \times (-2) + 8$.
2. Evaluate $4 - 2(5 - 3) + 7$.
3. What is the value of $6| -5 | + 2(4) - 12$?
4. Solve $-8 + 3(-4) + | 2 - 6 |$.
5. Simplify $-10 + 5 | -1 | - 4 \cdot (-3)$.

Tip: Always evaluate absolute values and operations involving parentheses first!