Simplity the following :
`6-{5xx3-(-12)xx16div(-8)]`

Answer

To simplify the expression \( 6 - \{ 5 \times 3 - (-12) \times 16 \div (-8) \} \), we will follow the BODMAS rule (Brackets, Orders, Division and Multiplication, Addition and Subtraction).

### Step-by-Step Solution:

1. **Identify the innermost brackets**:
The expression inside the curly braces is \( 5 \times 3 - (-12) \times 16 \div (-8) \).

2. **Perform the division**:
Calculate \( (-12) \times 16 \div (-8) \).
- First, calculate \( 16 \div (-8) = -2 \).
- Then, calculate \( -12 \times -2 = 24 \).

Now, the expression becomes:
\[ 6 - \{ 5 \times 3 - 24 \} \]

3. **Perform the multiplication**:
Calculate \( 5 \times 3 = 15 \).

Now, the expression is:
\[ 6 - \{ 15 - 24 \} \]

4. **Perform the subtraction inside the brackets**:
Calculate \( 15 - 24 = -9 \).

Now, the expression is:
\[ 6 - (-9) \]

5. **Subtracting a negative number**:
Subtracting a negative is the same as adding a positive, so:
\[ 6 + 9 = 15 \]

### Final Answer:
The simplified expression is \( 15 \).