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Simplifying 2(3n + 5) = 9(6n + 5) + 8 Reorder the terms: 2(5 + 3n) = 9(6n + 5) + 8 (5 * 2 + 3n * 2) = 9(6n + 5) + 8 (10 + 6n) = 9(6n + 5) + 8 Reorder the terms: 10 + 6n = 9(5 + 6n) + 8 10 + 6n = (5 * 9 + 6n * 9) + 8 10 + 6n = (45 + 54n) + 8 Reorder the terms: 10 + 6n = 45 + 8 + 54n Combine like terms: 45 + 8 = 53 10 + 6n = 53 + 54n Solving 10 + 6n = 53 + 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. 10 + 6n + -54n = 53 + 54n + -54n Combine like terms: 6n + -54n = -48n 10 + -48n = 53 + 54n + -54n Combine like terms: 54n + -54n = 0 10 + -48n = 53 + 0 10 + -48n = 53 Add '-10' to each side of the equation. 10 + -10 + -48n = 53 + -10 Combine like terms: 10 + -10 = 0 0 + -48n = 53 + -10 -48n = 53 + -10 Combine like terms: 53 + -10 = 43 -48n = 43 Divide each side by '-48'. n = -0.8958333333 Simplifying n = -0.8958333333
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