Let's solve the expression step by step.

Given expression:
\[ (10-2) - [(15+12-17) - (26+10+5-33)] \]

First, solve the inner expressions:

1. \( 10 - 2 \)
\[ 10 - 2 = 8 \]

2. \( 15 + 12 - 17 \)
\[ 15 + 12 - 17 = 27 - 17 = 10 \]

3. \( 26 + 10 + 5 - 33 \)
\[ 26 + 10 + 5 - 33 = 41 - 33 = 8 \]

Now substitute these values back into the original expression:

\[ 8 - [10 - 8] \]

Next, solve inside the brackets:

\[ 10 - 8 = 2 \]

So the expression simplifies to:

\[ 8 - 2 \]

Finally, subtract:

\[ 8 - 2 = 6 \]

Thus, the result of the expression is \( 6 \).

Would you like further details or have any questions?

Here are 8 related questions to expand your understanding:
1. How do you solve expressions with multiple parentheses?
2. What is the order of operations in mathematical expressions?
3. How do you handle nested brackets in expressions?
4. What are some common mistakes to avoid when simplifying expressions?
5. Can you solve an expression with three levels of nested parentheses?
6. How do you approach expressions with both addition and subtraction?
7. How does the distributive property apply to expressions like this?
8. How would the solution change if there were multiplication or division involved?

**Tip:** Always solve the innermost parentheses first and work outward, following the order of operations (PEMDAS/BODMAS).

Learn how to simplify the expression (10-2)-[(15+12-17)-(26+10+5-33)] step-by-step with a detailed solution. This problem involves arithmetic operations and parentheses in expressions, suitable for students in Grades 5-7.

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