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Simplifying 5(2n + 4) = 9(4n + 6) + 2 Reorder the terms: 5(4 + 2n) = 9(4n + 6) + 2 (4 * 5 + 2n * 5) = 9(4n + 6) + 2 (20 + 10n) = 9(4n + 6) + 2 Reorder the terms: 20 + 10n = 9(6 + 4n) + 2 20 + 10n = (6 * 9 + 4n * 9) + 2 20 + 10n = (54 + 36n) + 2 Reorder the terms: 20 + 10n = 54 + 2 + 36n Combine like terms: 54 + 2 = 56 20 + 10n = 56 + 36n Solving 20 + 10n = 56 + 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. 20 + 10n + -36n = 56 + 36n + -36n Combine like terms: 10n + -36n = -26n 20 + -26n = 56 + 36n + -36n Combine like terms: 36n + -36n = 0 20 + -26n = 56 + 0 20 + -26n = 56 Add '-20' to each side of the equation. 20 + -20 + -26n = 56 + -20 Combine like terms: 20 + -20 = 0 0 + -26n = 56 + -20 -26n = 56 + -20 Combine like terms: 56 + -20 = 36 -26n = 36 Divide each side by '-26'. n = -1.384615385 Simplifying n = -1.384615385
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