In this state, as in most states, an independent can not vote in a primary election.
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If you are an Independent you can vote in the Primary . A Primary is where and when candidates for election are selected from among those who declare they want the jobs.
HOWEVER, as you enter the polls and are checked off the registered voters list and approach the place where ballots are handed out, you must state a party preference and you are given the Primary ballot for that party.
Because I was in the news biz I always registered Independent.
When I first voted in Primaries I would ask for the party's ballot that I wanted.
Then, I would immediately write a letter to the Supervisors of the Checklist (as required by statute) and request my return to Independent status. So I was an Independent again when I voted in regular election where everyone gets the same ballots... federal and state and local.
These days, in New Hampshire, you can ask to be returned to Independant status as you exit the polls.
I found the same forms of those rules true in California and Hawaii.

"Live free or die"
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