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3 parts water - 1 part bleach.
Wash the wall with this - rinse and you should be all done.
As long as you bought a good quality Semi-Gloss paint - the bleach won't hurt it.
That paint wasn't oil based was it? If so - you need to prime and re-paint with a latex topcoat - alkyd binders are food for mildew!
Also - make sure you leave your fan on AFTER your showers for about 15 minutes.