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Simplifying 5(3n + 1) = 9(9n + 8) + 8 Reorder the terms: 5(1 + 3n) = 9(9n + 8) + 8 (1 * 5 + 3n * 5) = 9(9n + 8) + 8 (5 + 15n) = 9(9n + 8) + 8 Reorder the terms: 5 + 15n = 9(8 + 9n) + 8 5 + 15n = (8 * 9 + 9n * 9) + 8 5 + 15n = (72 + 81n) + 8 Reorder the terms: 5 + 15n = 72 + 8 + 81n Combine like terms: 72 + 8 = 80 5 + 15n = 80 + 81n Solving 5 + 15n = 80 + 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. 5 + 15n + -81n = 80 + 81n + -81n Combine like terms: 15n + -81n = -66n 5 + -66n = 80 + 81n + -81n Combine like terms: 81n + -81n = 0 5 + -66n = 80 + 0 5 + -66n = 80 Add '-5' to each side of the equation. 5 + -5 + -66n = 80 + -5 Combine like terms: 5 + -5 = 0 0 + -66n = 80 + -5 -66n = 80 + -5 Combine like terms: 80 + -5 = 75 -66n = 75 Divide each side by '-66'. n = -1.136363636 Simplifying n = -1.136363636
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