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Simplifying 5(3n + 2) = 9(9n + 2) + 2 Reorder the terms: 5(2 + 3n) = 9(9n + 2) + 2 (2 * 5 + 3n * 5) = 9(9n + 2) + 2 (10 + 15n) = 9(9n + 2) + 2 Reorder the terms: 10 + 15n = 9(2 + 9n) + 2 10 + 15n = (2 * 9 + 9n * 9) + 2 10 + 15n = (18 + 81n) + 2 Reorder the terms: 10 + 15n = 18 + 2 + 81n Combine like terms: 18 + 2 = 20 10 + 15n = 20 + 81n Solving 10 + 15n = 20 + 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. 10 + 15n + -81n = 20 + 81n + -81n Combine like terms: 15n + -81n = -66n 10 + -66n = 20 + 81n + -81n Combine like terms: 81n + -81n = 0 10 + -66n = 20 + 0 10 + -66n = 20 Add '-10' to each side of the equation. 10 + -10 + -66n = 20 + -10 Combine like terms: 10 + -10 = 0 0 + -66n = 20 + -10 -66n = 20 + -10 Combine like terms: 20 + -10 = 10 -66n = 10 Divide each side by '-66'. n = -0.1515151515 Simplifying n = -0.1515151515
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