An easy way to clean your computer keyboard is by wiping it with makeup brushes. They make it easier to get between the keys. The inexpensive brushes, large or small, work just fine.
You might try using a can of compressed air that is made for the purpose of cleaning out keyboards and other small equipment or spaces where you can't use anything liquid for cleaning. I use it on my keyboard, to get the dust out of the inside of my mouse or PC tower, etc.
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