According to the information in the fragment, it can be inferred that the author's claim is The South will see that allowing everyone to vote "pays better, from every standpoint."
The claim of a text refers to the most important sentence in which the central theme of the text is summarized. In general, the claim of a text refers to the central objective that the author has when writing that text and the message that he wants to convey.
According to the above, it can be inferred that the claim of the text is that everyone can vote in the Southern States because it is a fact that it will benefit everyone equally, taking into account the democratic system that the United States has.
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