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Saying you're down to do something means the same thing as saying you're up for it.
(discuss.tchncs.de)
A "Showerthought" is a simple term used to describe the thoughts that pop into your head while you're doing everyday things like taking a shower, driving, or just daydreaming. The best ones are thoughts that many people can relate to and they find something funny or interesting in regular stuff.
Some day try to explain the meaning of the word cool to a non naive English speaker.