Deleting Duplicates

Hey all.

I have a table with 100,000 plus records in it, and some are duplicates. Is there any way to delete one of them and not the other. For instance, if I duplicate the table I could run this query.
<cfquery name="query1" datasource="datasource">
DELETE DISTINCT
FROM tablename
WHERE FirstName in ( SELECT FirstName from tablename1 where tablename1.FirstName = tablename.FIRST_NAME AND tablename1.LastName = tablename.LAST_NAME AND tablename1.State = tablename.STATE)
</cfquery>

However, it doesn't work. I know the distinct is not correct. But does anyone know how to achieve this, I have looked all over, and everything I try deletes both records. I was thinking of using some kindof count statement, but it still deletes both of them. Please help. Thanks

give me the table fields, denote which one is the primary key please, from there we'll see if we can get you a solution.