Samantha has a total of $120, which she wants to spend on buying packs of stickers and packs of markers. Each pack of stickers costs $3, and each pack of markers costs $6.
Let s represent the number of packs of stickers Samantha buys and m represent the number of packs of markers. The equation that models the total amount spent by Samantha is given by:
$$3s + 6m = 120$$
What is the maximum number of packs of stickers she can buy if she does not buy any packs of markers?