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A​ town's population is 42,750 . About 125 people move out of the town each month. Each​ month, 175 people on average move into town. A nearby town has a population of 45,450 . It has no one moving in and an average of 175 people moving away every month. In about how many months will the populations of the towns be​ equal? Write an equation to model the situation. Then solve the equation and answer the question.