To simplify the expression \( w + 8w + 2 \), you would combine the like terms.
The like terms \( w \) and \( 8w \) can be combined as follows:
\[ w + 8w = 9w \]
So, the expression simplifies to:
\[ 9w + 2 \]
Therefore, the simplified expression is \( 9w + 2 \).