Your team needs a unified approach to clients and one another. It's up to you to show clearly what culture you want and what behaviour is unacceptable.
People around you will notice very soon that you are not doing anything to solve the problematic employee situation. If you want to resolve matters and gain their trust, they have to see you looking for the causes of the problem, proposing solutions, watching whether the employee fulfils what you agreed on and saying goodbye to him if he does not.
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Article source Inc.com - a U.S. magazine and web focused on starting businesses