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How Do You Solve a Word Problem Using an Equation With Variables on Both Sides?

Joe and Beth work for two different lawn care companies. Each weekend, Joe is paid a base rate of $15, plus $8 for each lawn he mows. Beth is paid a base rate of $45 each weekend, plus $6 for each lawn she mows. This weekend, Joe and Beth mowed the same number of lawns and made the same amount of money. How many lawns did each of them mow?