In a way that is fair and impartial, treating all people or sides equally without favoritism.
From 'evenhanded' + '-ly' (adverbial suffix). The adverb form allows the concept of fair judgment to modify actions, showing how something is done with equal treatment.
When a teacher evenhandedly distributes praise and criticism to all students, neither the popular kids nor the quiet kids get special treatment—everyone is evaluated by the same standard.
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