Let's solve the expression step by step:

1. Start with the expression:
   $\{[(15 + 5) \times 2 + 8] - \frac{32}{8}\} - (-7)$

2. Solve inside the parentheses first:

   • $15 + 5 = 20$
   • $20 \times 2 = 40$
   • $40 + 8 = 48$

   Now the expression is: $\{48 - \frac{32}{8}\} - (-7)$

3. Next, solve the division:

   • $\frac{32}{8} = 4$

   Now the expression is: $\{48 - 4\} - (-7)$

4. Solve the subtraction inside the braces:

   • $48 - 4 = 44$

   Now the expression is: $44 - (-7)$

5. Finally, subtract the negative:

   • $44 - (-7) = 44 + 7 = 51$

So, the answer is 51.

Do you want details or have any questions?

Here are 5 related questions:

1. How do you handle expressions with multiple levels of parentheses?
2. What are the rules for order of operations in arithmetic?
3. How do you add and subtract negative numbers?
4. How do you evaluate expressions with both multiplication and division?
5. What are some common mistakes to avoid in arithmetic calculations?

Tip: Always follow the order of operations (PEMDAS/BODMAS) when solving complex expressions.