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