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Simplifying 7(3n + 1) = 9(6n + 1) + 3 Reorder the terms: 7(1 + 3n) = 9(6n + 1) + 3 (1 * 7 + 3n * 7) = 9(6n + 1) + 3 (7 + 21n) = 9(6n + 1) + 3 Reorder the terms: 7 + 21n = 9(1 + 6n) + 3 7 + 21n = (1 * 9 + 6n * 9) + 3 7 + 21n = (9 + 54n) + 3 Reorder the terms: 7 + 21n = 9 + 3 + 54n Combine like terms: 9 + 3 = 12 7 + 21n = 12 + 54n Solving 7 + 21n = 12 + 54n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-54n' to each side of the equation. 7 + 21n + -54n = 12 + 54n + -54n Combine like terms: 21n + -54n = -33n 7 + -33n = 12 + 54n + -54n Combine like terms: 54n + -54n = 0 7 + -33n = 12 + 0 7 + -33n = 12 Add '-7' to each side of the equation. 7 + -7 + -33n = 12 + -7 Combine like terms: 7 + -7 = 0 0 + -33n = 12 + -7 -33n = 12 + -7 Combine like terms: 12 + -7 = 5 -33n = 5 Divide each side by '-33'. n = -0.1515151515 Simplifying n = -0.1515151515
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