Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrr} & 3w & 7 \\ \color{blue}{ + } & 9w & 1 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrr} & 3w & 7 \\ \color{blue}{ + } & 9w & 1 \\ \hline & 12w & 8 \end{array} $$