It’s actually simpler to print slides without speaker notes than with them—in fact, there is only one way to print speaker notes with slides.
Click File > Print.
Under Settings, click the second box (which defaults to say Full Page Slides), then under Print Layout, click Notes Pages.
Notes Pages prints one slide per page, with speaker notes below. The Preview Pane shows you what each layout option looks like.
Put in the other settings, such as which slides you want, how many copies, and so on.
The other options under Print Layout, and all of the options under Handouts, print only slides or slide content, not speaker notes.