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Simplifying 5(2n + 3) = 9(4n + 3) + 5 Reorder the terms: 5(3 + 2n) = 9(4n + 3) + 5 (3 * 5 + 2n * 5) = 9(4n + 3) + 5 (15 + 10n) = 9(4n + 3) + 5 Reorder the terms: 15 + 10n = 9(3 + 4n) + 5 15 + 10n = (3 * 9 + 4n * 9) + 5 15 + 10n = (27 + 36n) + 5 Reorder the terms: 15 + 10n = 27 + 5 + 36n Combine like terms: 27 + 5 = 32 15 + 10n = 32 + 36n Solving 15 + 10n = 32 + 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. 15 + 10n + -36n = 32 + 36n + -36n Combine like terms: 10n + -36n = -26n 15 + -26n = 32 + 36n + -36n Combine like terms: 36n + -36n = 0 15 + -26n = 32 + 0 15 + -26n = 32 Add '-15' to each side of the equation. 15 + -15 + -26n = 32 + -15 Combine like terms: 15 + -15 = 0 0 + -26n = 32 + -15 -26n = 32 + -15 Combine like terms: 32 + -15 = 17 -26n = 17 Divide each side by '-26'. n = -0.6538461538 Simplifying n = -0.6538461538
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