Simplify the following :
`14div(3` of `2-3+4)-9(5-3)`.

Answer

To simplify the expression `14 div (3 of (2 - 3 + 4)) - 9(5 - 3)`, 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 expression**:
The expression is `14 div (3 of (2 - 3 + 4)) - 9(5 - 3)`.

2. **Convert "of" to multiplication**:
The term "3 of" means "3 multiplied by". So, we rewrite the expression as:
\[ 14 \div (3 \times (2 - 3 + 4)) - 9(5 - 3) \]

3. **Calculate the expression inside the brackets**:
First, we solve \(2 - 3 + 4\):
\[ 2 - 3 = -1 \]
\[ -1 + 4 = 3 \]
Thus, \(2 - 3 + 4 = 3\).

4. **Substitute back into the expression**:
Now, we can substitute this back into our expression:
\[ 14 \div (3 \times 3) - 9(5 - 3) \]

5. **Calculate \(3 \times 3\)**:
\[ 3 \times 3 = 9 \]
So the expression becomes:
\[ 14 \div 9 - 9(5 - 3) \]

6. **Calculate \(5 - 3\)**:
\[ 5 - 3 = 2 \]
Now substitute this back into the expression:
\[ 14 \div 9 - 9 \times 2 \]

7. **Calculate \(9 \times 2\)**:
\[ 9 \times 2 = 18 \]
Now the expression is:
\[ 14 \div 9 - 18 \]

8. **Perform the division**:
\[ 14 \div 9 \approx 1.56 \quad (\text{or } \frac{14}{9} \text{ if you want to keep it as a fraction}) \]
Thus, we have:
\[ 1.56 - 18 \]

9. **Final subtraction**:
\[ 1.56 - 18 = -16.44 \]

### Final Answer:
The simplified expression is approximately \(-16.44\).