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Simplifying 8(3n + 3) = 9(9n + 5) + 8 Reorder the terms: 8(3 + 3n) = 9(9n + 5) + 8 (3 * 8 + 3n * 8) = 9(9n + 5) + 8 (24 + 24n) = 9(9n + 5) + 8 Reorder the terms: 24 + 24n = 9(5 + 9n) + 8 24 + 24n = (5 * 9 + 9n * 9) + 8 24 + 24n = (45 + 81n) + 8 Reorder the terms: 24 + 24n = 45 + 8 + 81n Combine like terms: 45 + 8 = 53 24 + 24n = 53 + 81n Solving 24 + 24n = 53 + 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. 24 + 24n + -81n = 53 + 81n + -81n Combine like terms: 24n + -81n = -57n 24 + -57n = 53 + 81n + -81n Combine like terms: 81n + -81n = 0 24 + -57n = 53 + 0 24 + -57n = 53 Add '-24' to each side of the equation. 24 + -24 + -57n = 53 + -24 Combine like terms: 24 + -24 = 0 0 + -57n = 53 + -24 -57n = 53 + -24 Combine like terms: 53 + -24 = 29 -57n = 29 Divide each side by '-57'. n = -0.5087719298 Simplifying n = -0.5087719298
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