In my opinion, there's a big difference, although the speaker's actual intention may be unknown. If there's no plan, he may do it and he may not. If he plans not to do it, there's positive intent to avoid doing it.
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Anonymousadvice whether "not plan to do" and "plan not to do" has any difference.There may be a slight difference, but the negation is usually placed up front regardless.
Anonymouswhether "not plan to do" and "plan not to do" has any differenceSorry. I misinterpreted the question.
There are situations where there is an important distinction between Not planning to and Planning not to do. There are an infinite number of situations that one is not planning to do. Most of these are opportunities that a person is not aware of. But where a decision has been made to forego a particular opportunity, this is Planning to not do.