earnestly
In a very serious and sincere way, truly meaning it.
To do something earnestly means to do it with sincere seriousness and genuine effort. When you ask for something earnestly, you're not joking around or making a casual request. You really mean it, and it shows in your voice and manner.
Picture a student who earnestly wants to improve their writing. They don't just say they want to get better; they actually read more books, practice regularly, and carefully consider their teacher's feedback. Or imagine a friend who earnestly apologizes after hurting your feelings. They look you in the eye, speak from the heart, and you can tell they truly regret what happened.
When you do something earnestly, you bring your whole self to it. You're not distracted, half-hearted, or pretending. A scientist who earnestly searches for a cure, a musician who earnestly practices scales, or a friend who earnestly listens to your problems all show the same quality: they care deeply about what they're doing, and that seriousness comes through in their actions.
People can tell the difference between someone going through the motions and someone working earnestly. That genuine quality matters.