removing the smell of other peoples' detergent when you have shared laundry facilities

i wasn't really sure what forum this would fit best in so if someone wants to point me to a different forum where i might get better replies feel free. anyway i have an extremely sensitive nose and i can't stand artificial smells/perfumes, they make me nauseous and my eyes water even if it's a "good" smell. laundry detergent in particular is a problem since it's on my clothes and i can smell it all day, so i use unscented laundry detergent, specifically arm & hammer brand.

at my apartment there are shared washers and dryers (two of each) and if the last person who used the washing machine used too much detergent, i can smell their detergent on my clothes, which i feel like would be gross to many people even if you don't have the same smell sensitivity i do lol? the machines are coin-operated so running an empty cycle or washing my clothes again isn't really an option. is there something i can add to my laundry to help remove the smell of others' detergent without damaging my clothes? any suggestions?