All motions for which authorities are relied upon shall be accompanied by citations of such authorities. Moving counsel may also accompany any motion with a brief written statement, or file a memorandum of law, supporting said motion. Any party, properly served with a motion accompanied by a statement or memorandum of law supporting said motion, may file a response containing either a statement or memorandum of law, with citation of supporting authorities, at or prior to the time specified in the notice of hearing of the motion. Failure to file a response to a motion accompanied by such a statement or memorandum may be grounds for denying a request for leave to file such a response after the time specified for a hearing of said motion.