Definitions:

1. Conveying genuine belief or purpose. ADVERB
   • They spoke earnestly about the need for change.
2. Performing an action in a way that shows deep sincerity and seriousness. ADVERB
   • He earnestly apologized for his mistake.
   • I earnestly explained the matter to my children.
3. Showing strong dedication, commitment, or effort. ADVERB
   • She earnestly studied for her final exam.

Synonyms:

• diligently
• intently
• seriously
• Sincerely
• weightily
• wholeheartedly