A hinge for rotatably coupling an appliance door with an appliance body includes a housing affixable within the door. An input arm is rotatably coupled to the housing and is affixable with the appliance body. A spring is operably engaged between the housing and the input arm to apply a balancing torque to the input arm relative to the housing. A first magnet is fixed relative to the housing and a second magnet is operatively coupled with the input arm such that rotation of the input arm with respect to the housing moves the second magnet axially with respect to the first magnet. The magnets have a mutual attraction between each other that is operable to apply a closing torque to the input arm relative to the housing. The balancing force decreases with movement of the input arm from the second position toward the first position.