To solve the expression \(-\{-[-(-1 \cdot 3 \cdot 2 - 15) \div 3] + 2\} - 1\), we'll follow the order of operations (PEMDAS/BODMAS):

1. **Parentheses/Brackets**: Simplify inside parentheses first.
2. **Exponents/Orders**: Not applicable here.
3. **Multiplication and Division**: From left to right.
4. **Addition and Subtraction**: From left to right.

### Step-by-step Solution:

1. **Simplify inside the innermost brackets**:
   - Inside \(-1 \cdot 3 \cdot 2 - 15\):
     \[
     -1 \cdot 3 = -3
     \]
     \[
     -3 \cdot 2 = -6
     \]
     \[
     -6 - 15 = -21
     \]

2. **Division inside brackets**:
   - Simplify \(-21 \div 3\):
     \[
     -21 \div 3 = -7
     \]

3. **Handle the outer brackets**:
   - Simplify \(-[-(-7) + 2]\):
     \[
     -[-(-7) + 2] = -[7 + 2]
     \]
     \[
     -[7 + 2] = -9
     \]

4. **Final subtraction**:
   - Simplify \(-9 - 1\):
     \[
     -9 - 1 = -10
     \]

So, the final result of the expression \(-\{-[-(-1 \cdot 3 \cdot 2 - 15) \div 3] + 2\} - 1\) is:

\[
\boxed{-10}
\]

Would you like details or have any questions about this solution?

### Relative Questions:
1. What is the result of \(-\{-[-(-2 \cdot 4 \cdot 3 - 20) \div 4] + 5\} - 2\)?
2. How do you solve \(-\{-[-(-1 \cdot 5 \cdot 3 - 10) \div 2] + 1\} - 3\)?
3. What is the outcome of \(-\{-[-(-2 \cdot 3 \cdot 4 - 30) \div 6] + 4\} - 1\)?
4. Can you simplify \(-\{-[-(-3 \cdot 2 \cdot 5 - 25) \div 5] + 3\} - 2\)?
5. How to solve \(-\{-[-(-1 \cdot 4 \cdot 3 - 12) \div 3] + 2\} - 4\)?
6. What is the result of \(-\{-[-(-2 \cdot 5 \cdot 2 - 18) \div 3] + 1\} - 5\)?
7. Can you solve \(-\{-[-(-1 \cdot 3 \cdot 4 - 16) \div 4] + 3\} - 6\)?
8. How do you find the result of \(-\{-[-(-2 \cdot 4 \cdot 3 - 24) \div 6] + 5\} - 1\)?

### Tip:
Always simplify the innermost parentheses or brackets first, and proceed step by step, ensuring to follow the order of operations carefully to avoid mistakes.

Learn how to solve the expression -{-[-(-1*3*2-15)/3]+2}-1 step-by-step with detailed explanations. This problem involves applying the order of operations (PEMDAS/BODMAS) including handling negative numbers, multiplication, division, and brackets. Suitable for Grades 7-9.

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