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Simplifying 3(2n + 5) = 9(9n + 7) + 9 Reorder the terms: 3(5 + 2n) = 9(9n + 7) + 9 (5 * 3 + 2n * 3) = 9(9n + 7) + 9 (15 + 6n) = 9(9n + 7) + 9 Reorder the terms: 15 + 6n = 9(7 + 9n) + 9 15 + 6n = (7 * 9 + 9n * 9) + 9 15 + 6n = (63 + 81n) + 9 Reorder the terms: 15 + 6n = 63 + 9 + 81n Combine like terms: 63 + 9 = 72 15 + 6n = 72 + 81n Solving 15 + 6n = 72 + 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. 15 + 6n + -81n = 72 + 81n + -81n Combine like terms: 6n + -81n = -75n 15 + -75n = 72 + 81n + -81n Combine like terms: 81n + -81n = 0 15 + -75n = 72 + 0 15 + -75n = 72 Add '-15' to each side of the equation. 15 + -15 + -75n = 72 + -15 Combine like terms: 15 + -15 = 0 0 + -75n = 72 + -15 -75n = 72 + -15 Combine like terms: 72 + -15 = 57 -75n = 57 Divide each side by '-75'. n = -0.76 Simplifying n = -0.76
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