Simplify: `(-9) -{(-8) + (24 + bar (13-7)) }`

Options

A. `-8`
B. `-5`
C. 5
D. None of these

Explanation

To simplify the expression `(-9) -{(-8) + (24 + bar (13-7)) }`, we will follow the order of operations step by step.

### Step 1: Simplify the expression inside the bar
First, we need to calculate the expression inside the bar, which is `(13 - 7)`.

\[ 13 - 7 = 6 \]

### Step 2: Substitute the result back into the expression
Now we substitute `6` back into the expression:

\[ (-9) - \{(-8) + (24 + 6)\} \]

### Step 3: Simplify the expression inside the small bracket
Next, we simplify the expression inside the small bracket, which is `(24 + 6)`.

\[ 24 + 6 = 30 \]

### Step 4: Substitute the result back into the expression
Now we substitute `30` back into the expression:

\[ (-9) - \{(-8) + 30\} \]

### Step 5: Simplify the expression inside the middle bracket
Now we simplify the expression inside the middle bracket, which is `(-8) + 30`.

\[ -8 + 30 = 22 \]

### Step 6: Substitute the result back into the expression
Now we substitute `22` back into the expression:

\[ (-9) - 22 \]

### Step 7: Perform the final subtraction
Now we perform the final subtraction:

\[ -9 - 22 = -31 \]

### Final Result
Thus, the simplified expression is:

\[ \boxed{-31} \]