Help! I think I am right, but not sure.

Factor out greatest common factor then simplify the factors
15wx-20wy-25wz=
5w(3x)+5w(-4y)+5w(-5z)=
5w(3w-4y-5z)=
5w

I agree with you as far as 5w(3w-4y-5z).

That does not equal 5w.

To factor out the greatest common factor, you need to find the largest number or variable that can divide into each term. In this case, the greatest common factor is 5w.

To simplify the factors, you multiply the greatest common factor by the simplified expression obtained by dividing each term by the greatest common factor:

15wx ÷ (5w) = 3x
-20wy ÷ (5w) = -4y
-25wz ÷ (5w) = -5z

So the simplified expression is:

5w(3x) + 5w(-4y) + 5w(-5z) = 5w(3x - 4y - 5z) = 5w.