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Simplifying 5(2n + 3) = 9(6n + 7) + 5 Reorder the terms: 5(3 + 2n) = 9(6n + 7) + 5 (3 * 5 + 2n * 5) = 9(6n + 7) + 5 (15 + 10n) = 9(6n + 7) + 5 Reorder the terms: 15 + 10n = 9(7 + 6n) + 5 15 + 10n = (7 * 9 + 6n * 9) + 5 15 + 10n = (63 + 54n) + 5 Reorder the terms: 15 + 10n = 63 + 5 + 54n Combine like terms: 63 + 5 = 68 15 + 10n = 68 + 54n Solving 15 + 10n = 68 + 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. 15 + 10n + -54n = 68 + 54n + -54n Combine like terms: 10n + -54n = -44n 15 + -44n = 68 + 54n + -54n Combine like terms: 54n + -54n = 0 15 + -44n = 68 + 0 15 + -44n = 68 Add '-15' to each side of the equation. 15 + -15 + -44n = 68 + -15 Combine like terms: 15 + -15 = 0 0 + -44n = 68 + -15 -44n = 68 + -15 Combine like terms: 68 + -15 = 53 -44n = 53 Divide each side by '-44'. n = -1.204545455 Simplifying n = -1.204545455
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