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It depends what you mean by the right to move freely. The ‘deal’ agreed so far only protects the automatic right to live/work in the state in which you are already established (campaigners for the rights of Britons in the EU are contesting this). That is not to say it would be impossible for Britons to move to another EU country or work in one, but the right would not be automatic.

Britons would have to apply to a new country for the right to live there and (barring any special rules agreed in future talks) be subject to stricter criteria applied to ordinary ‘third country’ (non-EU) citizens.

As to moving freely in the sense of visiting other Schengen Zone countries without border controls or visas, a third-country citizen living legally in a Schengen Zone country (with a residence permit) may visit another country of the zone for up to 90 days in any 180 day period.