Make room for the other version
Ask what the other person understood before assuming that you are arguing about the same facts. For a message about how to apologize for cheating on an exam, use this factual base: name the assignment, rule, person, or shared work affected and do not conceal the extent of the problem.
Correct the record precisely
Correct only what you can support, acknowledge any real impact, and propose a practical way to prevent repetition. Ask which repair is permitted, complete your own work, and accept a fair academic consequence. Make the immediate next step clear enough that the recipient can answer without reconstructing the entire history.
Agree on a testable next step
Do not pressure a teacher or classmate to erase a consequence or support a false account. Report bullying, threats, abuse, and safeguarding concerns to a trusted adult or official school channel. Do not recruit an audience, publish private evidence, or turn a misunderstanding into a campaign about character.