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Or moisten it with rubbing alcohol and continue to use it. I use the little lint free glasses cloths and alcohol to clean my screen and keyboard, works wonders!After about a month the cloth will lose its effectiveness and at that point throw it away and buy a new one.
Also, use air spray (compressed air) to blow out dust/dirt that might have gotten within the keys of the keyboard.
Toothpicks rock for cleaning out the crevices.
plastic toothpicks preferbly. wooden ones but be careful not to splinter or break them. DEFINATELY NOT metal ones

That's good advice to air spray from a distance and not up close, so that the debris doesn't get further embedded in the phone.I'm hoping that, if you do use compressed/canned air, you do it from a distance and not up very close to the device.
We've seen reports of debris and dust being blown into the phone, even under the screen, into the camera lens and even into the charging port and causing all sorts of issues to crop up (dust under the screen, dead pixels, scratchy sound, poor battery charging or issues moving files through the data cable, blemishes in pics, etc).
I'd never use canned air on a phone, preferring to play it safe with special soft cloths made for the purpose and available at Best Buy, etc.