12n+17=8n+21, combine variables on one side, 12n-8n =4n, inverse operations; combine variables, 4n+17=21, get variable alone, 21-17 =4, inverse operations; move the Constant, 4n=4, inverse operations; move the Coefficient, n=1, solution, 12 (1) + 17 = 8(1) +21, check your work

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