`22 – [23 - {24 - (27 – bar(25 – 30))}]= ?`

Options

A. `-7`
B. 7
C. `-9`
D. `-8`

Answer

To solve the expression \( 22 - [23 - \{24 - (27 - (25 - 30))\}] \), we will follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right) - often abbreviated as PEMDAS.

### Step-by-Step Solution:

1. **Start with the innermost parentheses**:
\[ 25 - 30 = -5 \]
Now the expression becomes:
\[ 22 - [23 - \{24 - (27 - (-5))\}] \]

2. **Next, solve the expression inside the parentheses**:
\[ 27 - (-5) = 27 + 5 = 32 \]
Now the expression updates to:
\[ 22 - [23 - \{24 - 32\}] \]

3. **Now, solve the expression inside the curly brackets**:
\[ 24 - 32 = -8 \]
The expression now is:
\[ 22 - [23 - (-8)] \]

4. **Next, solve the expression inside the square brackets**:
\[ 23 - (-8) = 23 + 8 = 31 \]
The expression simplifies to:
\[ 22 - 31 \]

5. **Finally, perform the last subtraction**:
\[ 22 - 31 = -9 \]

Thus, the final answer is:
\[ \boxed{-9} \]