There does not seem to be a great difference in this case. Perhaps "away" more strongly suggests separation from something. (In other contexts there might be more of a difference.
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Mr. TomThanks!So, are these correct and have the same meaning?He uttered some sentences and walked off.He uttered some sentences and walked away.ToYes, they are correct and mean about the same. Again, "away" may have a slightly stronger emphasis on separation from something.