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There's nothing special about Washington, DC, so nobody would ever phrase a question this way.

But, DC is at (approximately) 39N 77W, so 80 degrees south and 107 degrees west of DC would be 41S, 194W. Oops, the maximum longitude is 180, so "194W" would be 14 degrees west of 180E, which would be 166E.

So, 41S, 166E. These coordinates are in the Tasman Sea, about 280 miles northwest of Canterbury, New Zealand.

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