algebra and math question 1

n a certain country, every year 15% of the residents from the big cities move to suburbs, 3% move to rural area, rest stay in the big cities.10% of the residents in the suburbs move to the big cities, 6% move to the rural areas, rest stay in the suburbs.15% of the people in the rural areas move to big cities, 30% move to the suburbs, and the rest stay in the rural areas.If the same transition pattern continues, find the % of the population that will live in big cities, suburbs, and the rural areas in the long run.
 
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