There's no getting away from the fact that long duration cardio shifts fat quicker than any other method apart from liposuction.

If you feel the need to do weights, doing them before the cardio, not after, is a great way to stimulate nerves and muscle fibres. Leading to a higher metabolic rate during the low intensity exercise. A drawback of doing cardio training before weights is the muscle glycogen gets used up and wouldn't have time to replenish properly, leading to a low quality session.