I am glad to receive your letter. I hope I can give you some useful suggestions.
First of all, I understand that you are disappointed and confused that you can't fulfill your agreement with your friends. In this case, sincere communication is the key to solve the contradiction. Try to tell your friend the truth and let her know why you can't go to the library as planned. If necessary, you can suggest another time or way to fulfill your agreement.
In addition, you can try some creative solutions, such as finding other places or times to carry out the originally planned activities by * * *. Or, you can explore other hobbies with your friends, so as to find a solution to the contradiction with a happy mood.
When communicating and dealing with contradictions, it is very important to remember to respect and understand each other's position. I believe that through rational treatment and frank communication, you can find ways to solve contradictions and rebuild the trust and respect of friendship.
If you have other questions or need further help, please feel free to contact me. I am willing to fully support you.
Good luck!
[Your name]