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Adverb: resolutely  're-zu,loot-lee
  1. Showing firm determination or purpose
    "he entered the building resolutely"; "she resolutely refused to look at him or speak to him";
    - decidedly
     
  2. With firmness of purpose
    "'I will come along,' she said resolutely";
    - decisively, decidedly

Antonym: irresolutely