Examples:
You're dead wrong. Things did not happen that way.
You are dead wrong. I did not vote for that political party. They are right-wing extremists.
Meaning: To correct an injustice or an unfair situation.
Examples:
It is not always easy to right a wrong.
She was given a hundred thousand pounds to right a wrong that the company had done to her in the past.
I said some nasty words to my wife yesterday. To right this wrong, I will buy her some flowers and ask her to forgive me. I am very sorry for it.
He says that they have ruined his life, and that he will ruin theirs to right the wrong done to him. (In other words, he will avenge himself.)