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Sue the offender for damages. This will serve three things
1. It would be your way if showing that you don't approve of slander. It's the only way you can make the offender pay as slander isn't a criminal offense
2. It would prevent others from committing slander. When people want to make statements about you in future, they'll do well to double check their facts less they commit slander and are sued.
3. It's a way of telling the world that the statement is false. If you do nothing or try to deal with it in private, people might think the offender was saying the truth. But when you sue the offender, everyone would know he was lying in San attempt to ruin your reputation