So they came forward and carried them, still in their tunics, outside the camp, as Moses had directed.
We may well think that when Nadab and Abihu were struck with death all about them were struck with horror, and every face, as well as theirs, gathered blackness. Great consternation, no doubt, seized them, and they were all full of confusion; but, whatever the rest were, Moses was composed, and knew what he said and did, not being displeased, as David was in a like case, Sa2 6:8.
Commenting on Leviticus 10:3-7
So they went near,.... To the place where the bodies lay, having an order from Moses so to do, let them have been where they will: and carried them in their coats out of the camp, as Moses had said; or bid them do; they took them up in their clothes as they found them, and carried them in them; not that these men carried...
Carried them in their coats out of the camp - The modern impropriety of burying the dead within towns, cities, or places inhabited, had not yet been introduced; much less that abomination, at which both piety and common sense shudder, burying the dead about and even within places dedicated to the worship of God!