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Simplifying 3(2n + 2) = 9(4n + 9) + 9 Reorder the terms: 3(2 + 2n) = 9(4n + 9) + 9 (2 * 3 + 2n * 3) = 9(4n + 9) + 9 (6 + 6n) = 9(4n + 9) + 9 Reorder the terms: 6 + 6n = 9(9 + 4n) + 9 6 + 6n = (9 * 9 + 4n * 9) + 9 6 + 6n = (81 + 36n) + 9 Reorder the terms: 6 + 6n = 81 + 9 + 36n Combine like terms: 81 + 9 = 90 6 + 6n = 90 + 36n Solving 6 + 6n = 90 + 36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36n' to each side of the equation. 6 + 6n + -36n = 90 + 36n + -36n Combine like terms: 6n + -36n = -30n 6 + -30n = 90 + 36n + -36n Combine like terms: 36n + -36n = 0 6 + -30n = 90 + 0 6 + -30n = 90 Add '-6' to each side of the equation. 6 + -6 + -30n = 90 + -6 Combine like terms: 6 + -6 = 0 0 + -30n = 90 + -6 -30n = 90 + -6 Combine like terms: 90 + -6 = 84 -30n = 84 Divide each side by '-30'. n = -2.8 Simplifying n = -2.8
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