The problem you're dealing with is an absolute value operation. The expression is:

$| 5 - 13 | - | -11 |$

Let's break it down step by step:

1. Evaluate the first absolute value: $5 - 13 = -8$ The absolute value of $-8$ is: $| -8 | = 8$

2. Evaluate the second absolute value: $| -11 | = 11$

3. Subtract the two results: $8 - 11 = -3$

So, the final answer is $-3$.

Would you like more details or have any questions?

Here are 5 related questions for practice:

1. What is the value of $| 7 - 10 | - | 12 |$?
2. How would you solve $| -5 + 9 | + | -14 |$?
3. What is the absolute value of $| -15 + 3 |$?
4. If $| x | = 7$, what are the possible values of $x$?
5. How does the absolute value function affect negative numbers?

Tip: The absolute value of any number is always non-negative.