The value of 39 - [30 - {33 - (19-4`div` 3 of 8 `xx` 6)}] is:

Options

A. 15
B. 18
C. 24
D. 9

Answer

To solve the expression \( 39 - [30 - \{33 - (19 - 4 \div 3 \text{ of } 8 \times 6)\}]\), we will follow the order of operations, often remembered by the acronym BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction).

### Step-by-Step Solution:

1. **Identify the innermost bracket**:
We start with the expression \( 19 - 4 \div 3 \text{ of } 8 \times 6 \).

2. **Calculate the division and multiplication**:
- First, we need to calculate \( 4 \div 3 \).
- Then we multiply the result by \( 8 \times 6 \).

Let's calculate \( 8 \times 6 = 48 \).

Now, we need to calculate \( 4 \div 3 \):
\[ 4 \div 3 \approx 1.33 \]
Now multiply this by \( 48 \):
\[ 1.33 \times 48 \approx 64 \]

3. **Substitute back into the expression**:
Now we have:
\[ 19 - 64 \]
This gives:
\[ 19 - 64 = -45 \]

4. **Substitute into the next bracket**:
Now we substitute into the next part of the expression:
\[ 33 - (-45) = 33 + 45 = 78 \]

5. **Substitute into the next bracket**:
Now we substitute into the next part:
\[ 30 - 78 = -48 \]

6. **Final calculation**:
Now substitute into the outermost expression:
\[ 39 - (-48) = 39 + 48 = 87 \]

### Final Answer:
The value of the expression is \( 87 \).