Solve

9(w-2)=-18
9w-18=-18
9w=0
w=0

Is this correct?

Right!

Yes, your solution is correct! Let me explain how we got there step by step.

We start with the equation: 9(w - 2) = -18.

We can simplify the equation by distributing the 9 to the terms inside the parentheses:
9w - 18 = -18.

Next, we want to isolate the variable w. To do this, we need to eliminate the -18 on the left side of the equation. We can do this by adding 18 to both sides of the equation:
9w - 18 + 18 = -18 + 18.
This simplifies to: 9w = 0.

Now, we have a simple equation in one variable. To obtain the value of w, we divide both sides of the equation by 9:
(9w) / 9 = 0 / 9.
This simplifies to: w = 0.

So, the solution to the equation is w = 0, as you correctly found. Well done!