Rasheed Sulaimon added 13 points for the Blue Devils (14-4, 3-2 Atlantic Coast Conference), who led by 13 at halftime and by 37 afterward to keep the Wolfpack winless at Cameron Indoor Stadium since 1995.
Duke shot 50 percent and went 11 for 24 from 3-point range.
T.J. Warren scored 23 points to lead N.C. State (11-7, 1-4), which shot 48 percent but committed 21 turnovers to undermine any chance at building momentum.
Fifteen of those turnovers came by halftime, with Duke taking a 23-2 edge in points off turnovers to build a 45-32 lead. Things only got worse from there for N.C. State, which hasn't beaten Duke coach Mike Krzyzewski at Cameron — the 1995 win came while Krzyzewski was on medical leave — since February 1988.
It was Krzyzewski's 200th career ACC win at Cameron and his 898th overall at Duke, putting the NCAA men's career coaching wins leader two shy of joining Syracuse's Jim Boeheim with at least 900 wins at one school.
It also came with former President George H.W. Bush in attendance, with the Bush-founded CEO Roundtable on Cancer saying Bush was on hand to recognize Krzyzewski for his "personal commitment and leadership" in work to fight cancer.
Duke started the week by falling to its lowest ranking since the last time it fell out of the AP Top 25 in February 2007, then needed Sulaimon to make a 3 that bounced high off the rim and dropped through the net in the final minute to hold off Virginia 69-65 here Monday night.
The Blue Devils had no such drama Saturday, easily handling an N.C. State team that didn't have any player reach double figures to support Warren — the ACC's leading scorer at 22 points per game.
N.C. State had a big win at Notre Dame — which came three days after Duke's loss in South Bend — to build some confidence after a home loss to Pittsburgh in its league opener. But the Wolfpack followed that with a 31-point home loss to Virginia last weekend then lost 70-69 on a last-second basket at Wake Forest on Wednesday night.
Now, with a third straight loss, Mark Gottfried's team heads into a three-game ACC homestand in desperate need of a win.