Emphasizes one's responsibility to fix their own mistakes. She apologized to mend the relationship and right a wrong.
Pro Tip 2/3
Moral Emphasis
Used when highlighting the ethical need to correct an action. He felt compelled to confess to right a wrong.
Pro Tip 3/3
Not Literal
Figuratively speaking, it doesn't always mean to 'make something right' in a physical sense. To right a wrong, he started treating everyone with respect.