Apologize lovingly and sincerely! Verbalize to them how you think they must feel. Then explain that you made a big mistake and that it's not their fault. As long as you're not insulting or humiliating them, I think that when kids see parents lose it and then be able to recover maturely without blaming anyone, it can turn into a good lesson. But any repeat, undesirable behaviors on their part needs to be addressed and corrected vs. ignored because the parent feels guilty.
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