Solve 16 - 2 ÷ 7 + 6 × 2 = ?

To solve the expression \(16 - 2 \div 7 + 6 \times 2\), we follow the **order of operations** (BODMAS rule):

1. **Brackets**: Solve expressions inside brackets first (none in this case).
2. **Orders**: Evaluate exponents or roots (none in this case).
3. **Division and Multiplication**: Solve from left to right.
4. **Addition and Subtraction**: Solve from left to right.

Now, solving step by step:

Step 1: Perform division.
\[16 - 2 \div 7 + 6 \times 2\]
Divide \(2 \div 7\), which equals approximately \(0.2857\) (keeping it as a decimal for simplicity):
\[16 - 0.2857 + 6 \times 2\]

Step 2: Perform multiplication.
\[16 - 0.2857 + 6 \times 2\]
Multiply \(6 \times 2 = 12\):
\[16 - 0.2857 + 12\]

Step 3: Perform addition and subtraction from left to right.
\[16 - 0.2857 + 12\]
Subtract \(16 - 0.2857 = 15.7143\):
\[15.7143 + 12\]
Add \(15.7143 + 12 = 27.7143\).

Final answer:
\[27.7143\]