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adjectives

immediately following in time or order
"the following day"; "next in line"; "the next president"; "the next item on the list"
following, next
nearest in space or position; immediately adjoining without intervening space
"had adjacent rooms"; "in the next room"; "the person sitting next to me"; "our rooms were side by side"
adjacent, next, side by side
(of elected officers) elected but not yet serving
"our next president"
future, next, succeeding

adverbs

at the time or occasion immediately following
"next the doctor examined his back"
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