I'm remodeling and the bathtub and toilet is on the same drain line. They are on a slab, so trying not to cut slab.. I raised the tub on a platform 12" high. I can now pita trap in the tub and want to put a studer vent between the tub trap and the toilet. If the toilet flushes the studer will vent the toilet, but will it help the tub? Need some help..