My bracket fell off like a week ago and i haven't been able to get to my dentist to get it fixed. I get my braces tightened on Wednesday. Is it really going to make a difference that I waited so long? Will I have to keep them on longer?

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I think you will be fine. Mine did this when my tooth fell out with a bracket on it. It may spread the teeeth apart a little but once you get it back on and tightened it will make up for it, with some pain! Thats okay though, because it goes away soon and at least the result is some great teeth!