Let's start by solving the problems from 10 to 20.

10)

$| -71 | - | -23 + 57 | - 22 = 71 - |34| - 22 = 71 - 34 - 22 = 15$

11)

$82 + | -15 - 75 | - | -3 | = 82 + | -90 | - 3 = 82 + 90 - 3 = 169$

12)

$54 + 47 - | -25 + 19 | = 54 + 47 - | -6 | = 54 + 47 - 6 = 95$

13)

$| -3 + 14 | + | 8 + 5 | - 2 = | 11 | + | 13 | - 2 = 11 + 13 - 2 = 22$

14)

$-9 + 74 - | 87 - 33 - 7 | = -9 + 74 - | 47 | = -9 + 74 - 47 = 18$

15)

$| 56 | - | -21 - 10 | - 8 = 56 - | -31 | - 8 = 56 - 31 - 8 = 17$

16)

$47 + | -72 | - 69 = 47 + 72 - 69 = 50$

17)

$| -8 + 11 - 4 | + | 4 + 7 | = | -1 | + | 11 | = 1 + 11 = 12$

18)

$| 12 - 4 | - | -8 + 8 | - 1 = | 8 | - | 0 | - 1 = 8 - 0 - 1 = 7$

19)

$| 31 | - | -51 | + 82 = 31 - 51 + 82 = 62$

20)

$| -7 + 14 | + | 8 | - | 2 + 9 | = | 7 | + 8 - | 11 | = 7 + 8 - 11 = 4$

Solutions:

10. 15
11. 169
12. 95
13. 22
14. 18
15. 17
16. 50
17. 12
18. 7
19. 62
20. 4

Would you like more details or any clarifications?

Here are five related questions:

1. How do we handle absolute values in complex expressions?
2. Why does the absolute value always return a non-negative result?
3. What happens if we take the absolute value of a positive number?
4. How do we simplify nested absolute value expressions?
5. Can you give an example where absolute values are used in real-world problems?

Tip: When simplifying absolute value expressions, always handle each term inside the absolute sign separately before continuing with the rest of the expression.