Let's solve the expression step by step:

We have:  
\[
-2 \cdot | -1 - 9 |
\]

1. First, simplify inside the absolute value:
   \[
   -1 - 9 = -10
   \]

2. Now apply the absolute value:
   \[
   | -10 | = 10
   \]

3. Finally, multiply by \(-2\):
   \[
   -2 \cdot 10 = -20
   \]

So, the result is \(-20\).

Would you like more details or have any questions?

Here are 5 related questions to explore this further:
1. What happens if the absolute value inside contains positive numbers?
2. How do we handle nested absolute values, like \( |-1 + | -5 | | \)?
3. What if you had \(-2 \cdot |5 + 2|\) instead? 
4. Can you explain why the absolute value of negative numbers becomes positive?
5. How does the distributive property apply when multiplying constants with absolute values?

**Tip:** Absolute values always make numbers positive, but don't forget to apply other operations (like multiplication) after evaluating the absolute

Learn how to solve the expression -2 * | -1 - 9 | with a clear, step-by-step explanation. This problem covers key algebraic concepts, including absolute value and multiplication of integers. Ideal for students in Grades 6-8.

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