I hate to pick nits...no, wait. I love to pick nits. Well, nevermind then. What I mean is, to be accurate, "Using a little algebra we can replace like terms." is incorrect. $reference1 and $array[0[]] aren't like terms at all, they're entirely different variables. They *are* equal terms. Maybe we should email *your* algebra teacher... :)

Hey! Are you even listening? Hello? Oh, put the picture down already!