Let's solve the expression step-by-step:

$4^2 + 3(2 - 6)$

1. Calculate $4^2$:

$4^2 = 16$

2. Evaluate the expression inside the parentheses:

$2 - 6 = -4$

3. Multiply by 3:

$3 \times (-4) = -12$

4. Add the results:

$16 + (-12) = 4$

So, the result of the expression is:

$\boxed{4}$

Would you like more details, or do you have any questions?

Here are 5 related questions to explore further:

1. What is the value of $5^2 + 3(4 - 8)$?
2. How do you solve expressions involving exponents and parentheses?
3. What are the rules for the order of operations (PEMDAS)?
4. How would you solve $2^3 - 2(5 - 7)$?
5. Can negative numbers be multiplied or divided in the same way as positive numbers?

Tip: Remember the order of operations: parentheses, exponents, multiplication and division (left to right), addition and subtraction (left to right).