To find out how many kilograms of paper Linda's office will have recycled after 49 weeks, we can use the given equation:
\[ p = w + 49 \]
Here, \( w \) represents the number of weeks, and we want to substitute \( w = 49 \) into the equation to find \( p \):
\[ p = 49 + 49 \]
Now, we can calculate:
\[ p = 98 \]
So, after 49 weeks, Linda's office will have recycled 98 kilograms of paper.