Slavery affected people living in free states because the slaves sought refuge in the free states and the people who helped them were considered enemies of the slave states.
The free states is a term to refer to the group of states of the United States in which slavery was prohibited. Therefore, all individuals were free.
The problem of slavery affected the citizens of the free states because on many occasions they helped the slaves who escaped from the slave states and that is why they were considered enemies of the slave states.
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