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I have all the rights to vote

I have all the right to vote

Are both correct?

I think the only difference is that "all the right" means all right that exists

while "all the rights" means all rights you are thinking about.
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We have every right to vote.
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Let's use a different "right."

I have the right to be here.

I have every right to be here! (emphatic)

I have as much [of a] right to be here as you do!
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Comments  
We have the right to vote -correct

Not "all the rights"
 Optilang's reply was promoted to an answer.
does all the right means a "single right but all of it"?
Students: We have free audio pronunciation exercises.
 BarbaraPA's reply was promoted to an answer.