`13-(12-6-:3)`

Answer

To solve the expression \( 13 - (12 - 6 \div 3) \), 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**:
\[ 13 - (12 - 6 \div 3) \]

2. **Solve the division inside the brackets first**:
- Calculate \( 6 \div 3 \):
\[ 6 \div 3 = 2 \]
- Now substitute this back into the expression:
\[ 13 - (12 - 2) \]

3. **Now, solve the subtraction inside the brackets**:
- Calculate \( 12 - 2 \):
\[ 12 - 2 = 10 \]
- Substitute this back into the expression:
\[ 13 - 10 \]

4. **Finally, perform the subtraction**:
- Calculate \( 13 - 10 \):
\[ 13 - 10 = 3 \]

Thus, the final answer is:
\[ \boxed{3} \]