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Go next to Farragut North.
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Continue down the Red line. Once hetting to the Metro Center you will be on the Blue line.
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Continue down to the Federal Triangle between the Blue and Orange lines.
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Keep going down until you reach the Smithsonian.
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Continue across the Blue, Orange line until you reach L'Enfant Plaza in the middle of the Yellow, Green line.
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Continue right until you reach Federal Center SW on the Blue, Orange line.
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You are exiting the Metro System