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Unfortunately, nothing unless there is a "Right to Rescind" clause in your contract or you made the purchase at a location other than their place of business (ex. you bought it at a car show rather than their dealership).
Many people believe they automatically have a right to cancel a contract within so many days but that is incorrect. That urban legal myth began because there is a law that allows door to door sales (sales made at your home) or certain sales like vacation club packages, to be rescinded within 72 hours. That has somehow grown into the idea that you can just back out of any contract which is not the law or otherwise there wouldn't be any reason to have a contract in the first place.
Also, finding a better deal elsewhere is not a ground for rescission. If the dealer somehow breached the contract (ex. you ordered blue and they delivered brown) then you could possibly file a lawsuit and rescind as well.
While you may be able to sue based on the salesman lying to you there are a few issues with that. The main one is what is known as the "4 Corners Rule" or the "Parol Evidence Rule". Those state that if there is a contract then a court may not look outside the "4 corners" of the contract paperwork to interpret it. However, there are exceptions to this and if you have a witness then you may be able to claim fraud and get a judge to consider all of that. It's a tough argument, but possible.
Unfortunately, you really need a local lawyer to help you with this since it is complicated. The good news is that since this is a breach of contract case then you can also sue for whatever the fees are.
You would want to use a lawyer that does "Civil Litigation" or "Consumer Law". You can find one near you by going to www.lawyers.com and entering those phrases in the section for Area of Practice and then your location.
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Of course, please feel free to ask any follow up questions in this thread. I want to be sure that all of your questions are answered. In addition, once you issue your Positive Rating the question will lock open and you can come back to it anytime in the future if you think of something else.