I don't think smoking weed qualifies you as strong enough to quit smoking cigarettes. I mean that you first have to prove to yourself you can stop anything at any moment (except breathing, eating, drinking water and such things). That would prove you are not addicted of that thing.
I know this doesn't sound like an advice. I'm not a smoker, but I like wine and beer and I am addicted to computers…; when I start feeling bad because I “need” to turn on the computer now or drink a beer, in that moment I understand I need to push myself harder to take everything slower, rest from everyday habits and make plans like: tomorrow I will do this and this, but I won't do this (something I do often) and this (another thing I do often).
It's a matter of will, but also I need to know I can live happily without material things that make my day — the only things you can't give up, must be affections (friendship, love, such things), and of course food and waters ;-)