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Simplifying 5(2n + 5) = 6(6n + 8) + 5 Reorder the terms: 5(5 + 2n) = 6(6n + 8) + 5 (5 * 5 + 2n * 5) = 6(6n + 8) + 5 (25 + 10n) = 6(6n + 8) + 5 Reorder the terms: 25 + 10n = 6(8 + 6n) + 5 25 + 10n = (8 * 6 + 6n * 6) + 5 25 + 10n = (48 + 36n) + 5 Reorder the terms: 25 + 10n = 48 + 5 + 36n Combine like terms: 48 + 5 = 53 25 + 10n = 53 + 36n Solving 25 + 10n = 53 + 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. 25 + 10n + -36n = 53 + 36n + -36n Combine like terms: 10n + -36n = -26n 25 + -26n = 53 + 36n + -36n Combine like terms: 36n + -36n = 0 25 + -26n = 53 + 0 25 + -26n = 53 Add '-25' to each side of the equation. 25 + -25 + -26n = 53 + -25 Combine like terms: 25 + -25 = 0 0 + -26n = 53 + -25 -26n = 53 + -25 Combine like terms: 53 + -25 = 28 -26n = 28 Divide each side by '-26'. n = -1.076923077 Simplifying n = -1.076923077
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