To add \( w \) to both sides of the equation given, we start with:
\[ 3w - 3 = -w - 2 + w + w \]
First, simplify the right side:
\[ -w + w + w = 0 + w = w \]
Now, the equation simplifies to:
\[ 3w - 3 = w - 2 \]
Next, we will add \( w \) to both sides:
\[ 3w - 3 + w = w - 2 + w \]
This results in:
\[ 4w - 3 = 2w - 2 \]
Now, you have combined the \( w \) terms on the left side and simplified the right side.