The given expression is:

$-5(8a - 2)$

We will apply the distributive property to simplify this expression. This property states that $a(b + c) = ab + ac$. In this case, distribute $-5$ to both $8a$ and $-2$:

$-5(8a - 2) = (-5 \times 8a) + (-5 \times -2)$

Now, calculate each part:

$-5 \times 8a = -40a$ $-5 \times -2 = 10$

Thus, the simplified expression is:

$-40a + 10$

The correct answer is $-40a + 10$.

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

Here are 5 related questions you might explore:

1. What is the distributive property, and how is it used in algebra?
2. How do you simplify expressions with multiple variables?
3. Can the distributive property be used with more than two terms inside the parentheses?
4. How do you factor an expression like $-40a + 10$?
5. How do negative signs affect distribution in algebraic expressions?

Tip: Always check for common factors when simplifying expressions to avoid mistakes!