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40 light years.
That's just up the road in astronomical terms but still far enough away that we'll probably never get anywhere near it, even with an unmanned probe.
Rough back of a fag packet guestimate:
Even if Voyager 1 (still the fastest-over-a-long-distance thing we've ever built), which has already left the solar system* after travelling for several decades, was heading that way (it isn't), it would take almost another 1,000,000 (one meeeEEEeeelion) years to get there.
Cool science though. More research needed, etc...
*for a given definition of the solar system.