Right a wrong
Definition 1 of 2
Pro Tip 1/3Personal Accountability
Emphasizes one's responsibility to fix their own mistakes. 
She apologized to mend the relationship and right a wrong.
Pro Tip 2/3Moral Emphasis
Used when highlighting the ethical need to correct an action. 
He felt compelled to confess to right a wrong.
Pro Tip 3/3Not 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.