Let's break this down step by step:

1. Inside the absolute value:
   $8 - 13 = -5$ $| -5 | = 5$

2. Inside the parentheses:
   $-3 + 5 = 2$

3. Multiply by 6:
   $6 \times 2 = 12$

4. Divide by 2:
   $\frac{12}{2} = 6$

5. Add 4:
   $6 + 4 = 10$

Final Answer:

$\mathbf{10}$

Would you like a more detailed breakdown?

Related Questions:

1. How do absolute values affect arithmetic operations?
2. What is the order of operations (PEMDAS/BODMAS) and why is it important?
3. How do parentheses change the outcome of an expression?
4. What happens when you remove absolute values from an equation?
5. Can you create a similar expression with different numbers and solve it?

Tip: Always resolve absolute values before performing addition or subtraction inside parentheses!