How do we know that God forgives sins for His name's sake?

The forgiveness of sins granted by God is deeply rooted in His commitment to His own name and character. As seen in Psalm 25:11, the psalmist acknowledges his great iniquity and appeals to God to pardon him, invoking God's name as the basis for forgiveness. This illustrates that God's decisions, including forgiveness, are not arbitrary; they are a part of His eternal covenant and character, demonstrating both His justice and mercy. Thus, God's forgiveness serves to magnify His name and assure His people of His unwavering loyalty to His commitments.