Suppose you are in the high country and need to saddle, or un-saddle your horse near a cliff-side. I don't know about you but I'm not standing between my horse and the edge of the cliff to adjust his tack or work with the saddle. Sometimes that means you have to work with him from his offside
I'm going to assume you can saddle your horse, so now it's time to work from the offside. Start as if the horse has never been saddled before. Get him on a longe line or his lead rope and run him through his routine for moving forward, backward, "Come" and "Whoa" all while standing or walking on his offside. At this point grab a bucket or step stool so you can be slightly above him on his offside. Pat and rub the horse from tail to ears all the while talking, whistling or singing to him. Gently lay across his back and slowly let your weight come to bear on his back.