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Don’t just offer a blanket “I’m sorry.” Think carefully about what you are really apologizing for, and be specific when you say you’re sorry.  If you know you hurt your friend’s feelings, apologize for what you said. Say something like, “I’m really sorry I called you stupid. I respect you way more than that and my words were careless and rude.” You might say, “I’m sorry that I waited so long to call you after the fight,” if you honestly don’t think the argument was your fault. After you apologize, let your friend talk. Listen carefully to what your friend has to say, and try not to be defensive when they tell you what they think about the fight. You might have done something to hurt or upset them that you don’t even realize. You can talk about what happened, but don’t use this as an excuse to rehash the fight itself. Focus on using “I” statements that focus on your perspective rather than “you” statements that are centered on blame.  You could say something like, “I was feeling stressed out already that day and I lost my temper, and I shouldn't have done that” or “I felt really frustrated when you weren’t listening to me, but I shouldn’t have snapped at you.” Don't make excuses for your behavior. It's okay to explain how you were feeling, but be sure to take responsibility for your words and actions. A lot of times, once you’ve apologized, your friend will say “I’m sorry too.” If they do, let them know you accept their apology and you’re ready to get things back to normal. If your friend doesn’t apologize, ask yourself whether it’s more important to hear them say they’re sorry or to have your friend back. Your friend may not be ready to forgive you or even to end the argument. Respect your friend’s emotions, but don’t let them pull you back into the fight.  If your friend is still mad, ask what you can do to make it better. If they give you an answer, try to do that. If they say nothing, your friend may need more time, or they may want to end the friendship.  Try to be patient with your friend as they take the time to heal after your argument. They may need more time than you do, and that's okay. Whether you and your friend have repaired the friendship or your friend is still upset, try to end the conversation positively.  If you’ve made up, leave with a big hug and plans to hang out soon. If your friend is still upset, close the conversation by saying something like, “I still love you and I’ll be here if you want to talk.”
Offer a sincere and specific apology. Give your friend a chance to tell their side of the story. Share your thoughts about the argument. Accept your friend’s apology if they say they’re sorry. Give your friend more time if they're still angry. End on a positive note.