Deciding to Repent Even When the Temptation of Sin Remains

From KMTT - the Torah Podcast by KMTT.

Rav Soloveitchik on Teshuva (9): Deciding to Repent Even When the Temptation of Sin Remains, by Rav Dovid Gottlieb

What's the thought process  of a person who decides to repent for a sin even though he/she is still tempted by that sin?