The expression in the image is:

$5 \times (-6) + (-2)$

Let's solve this step by step.

1. First, multiply $5$ by $-6$: $5 \times (-6) = -30$

2. Next, add $-2$ to $-30$: $-30 + (-2) = -32$

So, the final result of the expression is:

$\boxed{-32}$

Would you like further details on any steps, or do you have any additional questions?

Here are 5 related questions:

1. How would the result change if the multiplication was $5 \times 6$ instead of $5 \times (-6)$?
2. What happens if you change the addition of $-2$ to adding $2$ instead?
3. How would you solve a similar expression with fractions instead of integers?
4. What is the result if you switch the order of operations?
5. Can you solve this problem using a number line?

Tip: When multiplying and adding negative numbers, remember that multiplying a positive and a negative number results in a negative, and adding two negative numbers results in a larger negative number.