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Simplifying 5(2n + 4) = 9(6n + 9) + 6 Reorder the terms: 5(4 + 2n) = 9(6n + 9) + 6 (4 * 5 + 2n * 5) = 9(6n + 9) + 6 (20 + 10n) = 9(6n + 9) + 6 Reorder the terms: 20 + 10n = 9(9 + 6n) + 6 20 + 10n = (9 * 9 + 6n * 9) + 6 20 + 10n = (81 + 54n) + 6 Reorder the terms: 20 + 10n = 81 + 6 + 54n Combine like terms: 81 + 6 = 87 20 + 10n = 87 + 54n Solving 20 + 10n = 87 + 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. 20 + 10n + -54n = 87 + 54n + -54n Combine like terms: 10n + -54n = -44n 20 + -44n = 87 + 54n + -54n Combine like terms: 54n + -54n = 0 20 + -44n = 87 + 0 20 + -44n = 87 Add '-20' to each side of the equation. 20 + -20 + -44n = 87 + -20 Combine like terms: 20 + -20 = 0 0 + -44n = 87 + -20 -44n = 87 + -20 Combine like terms: 87 + -20 = 67 -44n = 67 Divide each side by '-44'. n = -1.522727273 Simplifying n = -1.522727273
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