The expression to evaluate is:

$\left[ 11 + (12 - 4) \times 2 \right] \div 3$

Let's break it down step by step:

1. Parentheses First: $(12 - 4) = 8$

2. Multiplication Next: $8 \times 2 = 16$

3. Addition Inside the Brackets: $11 + 16 = 27$

4. Division: $27 \div 3 = 9$

Thus, the evaluated expression equals 9.

Would you like more details or have any questions?

Related Questions:

1. What is the order of operations and why is it important?
2. How do brackets and parentheses change the order of evaluation?
3. What are some common mistakes in evaluating similar expressions?
4. How can we solve expressions involving fractions in addition to whole numbers?
5. Can this expression be simplified further, and what does simplification mean?

Tip: Always follow the PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) rule when solving expressions!