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Gaining control of an Equipment doesn't cause it to move, though it will allow you to activate its equip ability later to attach it to a creature you control.

If one of the target permanents is an illegal target as Shrewd Negotiation resolves, the exchange won't happen.

In a multiplayer game, if a player leaves the game, all cards that player owns leave as well, and any effects that give the player control of permanents immediately end.