To simplify the expression $-8(2 + 9v)$, we will apply the distributive property, which states that $a(b + c) = ab + ac$. Here's the step-by-step process:

$-8(2 + 9v) = -8 \times 2 + (-8) \times 9v$

Now, let's calculate each term:

$-8 \times 2 = -16$ $-8 \times 9v = -72v$

So, the simplified expression is:

$-16 - 72v$

Would you like to go over any part of the process in more detail?

Related Questions:

1. How do you apply the distributive property to an expression like $-5(3 + 4x)$?
2. What happens if we factor out $-8$ from the expression $-16 - 72v$?
3. How do you simplify expressions with variables and constants in them?
4. What is the difference between distributing and factoring in algebra?
5. How do you solve equations that involve distributing terms?

Tip:

Always double-check your signs when multiplying negative numbers, as it's easy to mix up the negative signs!