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You can uninstall Office 2010 if you wish, however you can have both versions co-exist (as I do)
Sometimes for compatibility or to help out a colleague who has 2010 (namely for excel because some of the commands have changed), I keep both versions installed
Does that help answer your question?
Let me know if you need help uninstalling Office 2010 (Control panel > programs > uninstall)
Let me know if that helps!
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If you have further questions, please feel free to ask them below and I will gladly continue to assist you!