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Simplifying 5(2n + 5) = 9(9n + 4) + 2 Reorder the terms: 5(5 + 2n) = 9(9n + 4) + 2 (5 * 5 + 2n * 5) = 9(9n + 4) + 2 (25 + 10n) = 9(9n + 4) + 2 Reorder the terms: 25 + 10n = 9(4 + 9n) + 2 25 + 10n = (4 * 9 + 9n * 9) + 2 25 + 10n = (36 + 81n) + 2 Reorder the terms: 25 + 10n = 36 + 2 + 81n Combine like terms: 36 + 2 = 38 25 + 10n = 38 + 81n Solving 25 + 10n = 38 + 81n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-81n' to each side of the equation. 25 + 10n + -81n = 38 + 81n + -81n Combine like terms: 10n + -81n = -71n 25 + -71n = 38 + 81n + -81n Combine like terms: 81n + -81n = 0 25 + -71n = 38 + 0 25 + -71n = 38 Add '-25' to each side of the equation. 25 + -25 + -71n = 38 + -25 Combine like terms: 25 + -25 = 0 0 + -71n = 38 + -25 -71n = 38 + -25 Combine like terms: 38 + -25 = 13 -71n = 13 Divide each side by '-71'. n = -0.1830985915 Simplifying n = -0.1830985915
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