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Simplifying 5(2n + 3) = 6(9n + 6) + 8 Reorder the terms: 5(3 + 2n) = 6(9n + 6) + 8 (3 * 5 + 2n * 5) = 6(9n + 6) + 8 (15 + 10n) = 6(9n + 6) + 8 Reorder the terms: 15 + 10n = 6(6 + 9n) + 8 15 + 10n = (6 * 6 + 9n * 6) + 8 15 + 10n = (36 + 54n) + 8 Reorder the terms: 15 + 10n = 36 + 8 + 54n Combine like terms: 36 + 8 = 44 15 + 10n = 44 + 54n Solving 15 + 10n = 44 + 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. 15 + 10n + -54n = 44 + 54n + -54n Combine like terms: 10n + -54n = -44n 15 + -44n = 44 + 54n + -54n Combine like terms: 54n + -54n = 0 15 + -44n = 44 + 0 15 + -44n = 44 Add '-15' to each side of the equation. 15 + -15 + -44n = 44 + -15 Combine like terms: 15 + -15 = 0 0 + -44n = 44 + -15 -44n = 44 + -15 Combine like terms: 44 + -15 = 29 -44n = 29 Divide each side by '-44'. n = -0.6590909091 Simplifying n = -0.6590909091
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