I'm sorry that I didn't do my chores. I was supposed to {list of chores} but instead I was {playing video games/doing homework/doing inappropriate thing}.
I understand that the consequences are {no allowance/grounding/punishment}.
In the future, I promise to manage my time better and take my chores seriously. I acknowledge that my failure to do these tasks in a timely manner impacted the family {how} and will make up for it by {action}.
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Index of letter of apology templates