So the problem is

9 = w + (-8)
I know the answer is 17.
But I don't know how I solve it/show work.

What would happen if you add 8 to both sides of your equation ?

It becomes 17?

But usually with problems like these aren't you supposed to subtract since it's an addition problem?

You need to get the knowns on one side and the unknowns on the other side. Move the -8 to the other side of the equation. To do that, add 8 to both sides.

9 = w + (-8)
9 + 8 = w + (-8) + 8
17 = w

To solve the equation 9 = w + (-8), you need to isolate the variable w on one side of the equation. Here's the step-by-step process:

Step 1: Simplify the expression on the right side of the equation by adding -8 to w.
9 = w - 8

Step 2: To isolate w, you need to get rid of the -8 on the right side of the equation. You can do this by adding 8 to both sides of the equation.
9 + 8 = w - 8 + 8

Simplifying further:
17 = w

Therefore, w = 17 is the solution to the equation.