[Supperman]

Thank you, BBB and Kuuzoku, for your detailed explanation of the idioms.

The two country have cut a deal with each other in regard to the elimination of non-agricultural tariff.

They have cut a deal, and the plea-bargain's been accepted at the minor court.

Princess Amidara and the chief of Naboo natives cut a deal in order to face the new enemy, the Emperor Parpatine.

Maybe we can make a deal. First school, and you will be able to do anything you like after graduation.

I'll make you a deal. First, homework, and then you can enjoy TV.