Provided is a method of minimizing an unbalanced load of laundry within a clothes laundering machine before a high-speed spinning phase. The method includes rotating a drum of the clothes laundering machine at a suitable rotational speed to initially retain at least a portion of the laundry within the drum against an inner surface of the drum; and determining that an unbalanced distribution of the laundry exists within the drum. In response to determining that the unbalanced distribution of laundry exists within the drum, initiating a laundry distribution phase to redistribute the laundry within the drum to reduce at least one of the unbalance mass to a level that is less than or equal to a maximum allowable mass value, and the elevation torque to a level that is less than or equal to a maximum allowable elevation torque. The laundry distribution phase includes decelerating the rotational speed of the drum to a reduced speed that allows at least a portion of the laundry retained against the inner surface of the drum to separate from the inner surface of the drum to be re-distributed within the drum, and subsequent to said decelerating, accelerating the rotational speed of the drum to a suitable speed that is greater than the reduced speed for retaining the re-distributed portion of the laundry against the inner surface of the drum.