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Simplifying 2(3n + 4) = 9(6n + 9) + 3 Reorder the terms: 2(4 + 3n) = 9(6n + 9) + 3 (4 * 2 + 3n * 2) = 9(6n + 9) + 3 (8 + 6n) = 9(6n + 9) + 3 Reorder the terms: 8 + 6n = 9(9 + 6n) + 3 8 + 6n = (9 * 9 + 6n * 9) + 3 8 + 6n = (81 + 54n) + 3 Reorder the terms: 8 + 6n = 81 + 3 + 54n Combine like terms: 81 + 3 = 84 8 + 6n = 84 + 54n Solving 8 + 6n = 84 + 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. 8 + 6n + -54n = 84 + 54n + -54n Combine like terms: 6n + -54n = -48n 8 + -48n = 84 + 54n + -54n Combine like terms: 54n + -54n = 0 8 + -48n = 84 + 0 8 + -48n = 84 Add '-8' to each side of the equation. 8 + -8 + -48n = 84 + -8 Combine like terms: 8 + -8 = 0 0 + -48n = 84 + -8 -48n = 84 + -8 Combine like terms: 84 + -8 = 76 -48n = 76 Divide each side by '-48'. n = -1.583333333 Simplifying n = -1.583333333
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