There are several things I do about spider mites in the garden. And, they especially like dahlias!
First of all, I show up in the morning with a special spray nozzle that helps me cover the plant entirely with a strong jet of water. Spider mites are mostly under leaves. If you can blast them off, I figure the tiny things will starve to death before they can walk back to the plants.
Second, after this strong washdown to the plants, I'm back after they dry with something to kill the mites! In the veggie garden that is just Palmolive Green dishsoap at 3 tablespoons per gallon of water. That does a pretty good number on the mites but . . . they breed like rabbits. Or, maybe rabbits breed like spider mites . . . As long as they have those dry conditions, and that could be forever indoors, they are going to be back, and back again.
Some folks with smaller potted plants will completely submerge their plants in that dishsoap/water mix, in a 5 gallon bucket. Protect them from direct sunlight while they dry. No good to kill the plants at the same time as you are killing the mites!
Steve