Also see Colossians 3:20. The child in the home is to be willingly under the authority of parents with obedient submission to them as the agents of the Lord placed over them, obeying parents as if obeying the Lord Himself. The reasoning here is simply that such is the way God has designed and required it (or, right).
Commentary from the MacArthur study Bible, notes for Ephesians 6:1.
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