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That video is from July. In September, AT&T has made it harder to do this by now allowing a GoPhone sim to be used in any other phone for a period of six months. You have to go to ebay and buy an older sim card to be able to do this.
 
Here's what I did:

Call AT&T
Cancel your iPhone contract
Tell them you'd like to convert your plan a go-phone account
They'll just modify your existing phone number
Then, hang up and pop your SIM in your iPhone.

Worked perfectly for me!
 
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