What is correct may not be easy to understand, and what is easy to understand may not be correct. To a limit.
On reflection, it seems common that only no and ain't can be used to intensify a negation rather than a double negation, whereas correct English requires using any, isn't, or aren't.
I would probably never hear "This paper ain't unacceptable," but it's conceivable to hear "This paper ain't gonna get no acceptation from me."
Also, "This paper ain't unacceptable" is ambiguous, so I would expect to hear "This paper ain't unacceptable, but you gotta be proofreadin' some mo'."
Perhaps you can use exercises like asking what a certain written sentence might mean:
- You're not wrong.
- You ain't wrong. (still double negation)
- I ain't gonna take any shit from you. (possibly ambiguous, a sign of someone trying to copy a dialect, but slipping up with "any")
- I'ma takin' no crap from you.
- I'ma takin' no attitude from none of youse.
- None of you ain't right. (ambiguous)
- None of you ain't wrong. (ambiguous triple negation)
- Not one of you isn't wrong. (crystal clear triple negation)
The comprehension of an ambiguous phrase often depends on the context in which it appears.