File an appeal if you were denied benefits and want to have your case reconsidered. On the back of your denial letter, the appeal process will be outlined. Write a letter stating why you feel your claim shouldn't have been denied and then send it to the address specified. All correspondence must have your Social Security number listed at the top. Processing times can take up to two months. If your claim is again denied, you can write another letter and request a hearing with a judge. you need to reopen your claim if you were receiving benefits, stopped for a period of time, and now need to claim them once again.