TPP and the Republicans

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The president should consider offering TPP in exchange for other legislation. Pass immigration reform and tax reform and get one TPP signature. Pass immigration reform and a background-check-on-gun-purchases and gun-locks-in-homes-with-kids bills and get one TPP signature. Let the Republicans pick a la carte from among the things Dems want and make a deal. Liberals don't like TPP, so there's no real reason the president shouldn't 'get something for signing it'. Isn't that what the Republicans say about passing an increase in the debt limit? Goose, gander, and all that.