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I'm sorry to hear about your situation. Any time prior to the sale of the vehicle, you have the right to "cure" or "redeem" the vehicle by paying the total balance (not just past due balance). Any time before the disposition of the collateral, a debtor may have a right to redeem the collateral by tendering full payment of the obligation owed and all reasonable expenses incurred by the creditor. Reasonable notice of the time and place of the sale is generally required to be given to other secured creditors and the debtor.
Although, a creditor may allow you to cure any late payments and return the car, they are under no duty to do so. That means that there's no "right" that you have to "reinstate" the loan just by paying the past due amounts and coming current. Rather, the only right that you would have would be to pay the entire amount owed plus reasonable fees incurred in the repossession, etc...
I know this is probably not what you wanted to hear, but it is the law. I hope that clears things up anyway. If you have any other questions, please let me know. If not, and you have not yet, please rate my answer AND press the "submit" button, if applicable. Please note that I don't get any credit for the time and effort that I spent on this answer unless and until you rate it positively (good or better). Thank you, ***** ***** luck to you!