Solve :
`[3{4-9+7(30-:6+8)-2xx4}]-30`

Options

A. `284`
B. `204`
C. `200`
D. `214`

Answer

To solve the expression `[3{4-9+7(30-:6+8)-2xx4}]-30`, we will follow the BODMAS rule, which stands for Brackets, Orders (i.e., powers and square roots, etc.), Division, Multiplication, Addition, and Subtraction.

### Step-by-Step Solution:

1. **Identify the expression**:
We start with the expression:
\[ 3 \{ 4 - 9 + 7(30 \div 6 + 8) - 2 \times 4 \} - 30 \]

2. **Solve inside the brackets**:
First, we need to solve the expression inside the brackets, specifically `30 ÷ 6 + 8`.
\[ 30 \div 6 = 5 \]
Now, add 8:
\[ 5 + 8 = 13 \]
So, we replace `30 ÷ 6 + 8` with `13` in the original expression:
\[ 3 \{ 4 - 9 + 7 \times 13 - 2 \times 4 \} - 30 \]

3. **Multiply**:
Next, we perform the multiplication:
\[ 7 \times 13 = 91 \]
and
\[ 2 \times 4 = 8 \]
Now, substitute these values back into the expression:
\[ 3 \{ 4 - 9 + 91 - 8 \} - 30 \]

4. **Simplify inside the brackets**:
Now, simplify the expression inside the brackets:
\[ 4 - 9 = -5 \]
Then add `91`:
\[ -5 + 91 = 86 \]
Finally, subtract `8`:
\[ 86 - 8 = 78 \]
So, we now have:
\[ 3 \times 78 - 30 \]

5. **Multiply by 3**:
Now, multiply:
\[ 3 \times 78 = 234 \]

6. **Subtract 30**:
Finally, subtract `30` from `234`:
\[ 234 - 30 = 204 \]

### Final Answer:
The final answer is:
\[ \boxed{204} \]