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Simplifying 5(2n + 3) = 6(6n + 4) + 4 Reorder the terms: 5(3 + 2n) = 6(6n + 4) + 4 (3 * 5 + 2n * 5) = 6(6n + 4) + 4 (15 + 10n) = 6(6n + 4) + 4 Reorder the terms: 15 + 10n = 6(4 + 6n) + 4 15 + 10n = (4 * 6 + 6n * 6) + 4 15 + 10n = (24 + 36n) + 4 Reorder the terms: 15 + 10n = 24 + 4 + 36n Combine like terms: 24 + 4 = 28 15 + 10n = 28 + 36n Solving 15 + 10n = 28 + 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 = 28 + 36n + -36n Combine like terms: 10n + -36n = -26n 15 + -26n = 28 + 36n + -36n Combine like terms: 36n + -36n = 0 15 + -26n = 28 + 0 15 + -26n = 28 Add '-15' to each side of the equation. 15 + -15 + -26n = 28 + -15 Combine like terms: 15 + -15 = 0 0 + -26n = 28 + -15 -26n = 28 + -15 Combine like terms: 28 + -15 = 13 -26n = 13 Divide each side by '-26'. n = -0.5 Simplifying n = -0.5
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