What happens to thier debt when someone dies?

Myhusband recently passed and left behind about $6000 in credit card debt and $3000 left on a car loan. He had no life insurance or assets of anykind. All of the forementioned debt is in his name only. So, what happens to that debt?
Update: The car loan was an old loan from a car that was totaled and insurance only covered $18,000 on a $21,000 loan...so the car no longer exists, just the loan.
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