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Simplifying 3(3n + 1) = 9(5n + 8) + 9 Reorder the terms: 3(1 + 3n) = 9(5n + 8) + 9 (1 * 3 + 3n * 3) = 9(5n + 8) + 9 (3 + 9n) = 9(5n + 8) + 9 Reorder the terms: 3 + 9n = 9(8 + 5n) + 9 3 + 9n = (8 * 9 + 5n * 9) + 9 3 + 9n = (72 + 45n) + 9 Reorder the terms: 3 + 9n = 72 + 9 + 45n Combine like terms: 72 + 9 = 81 3 + 9n = 81 + 45n Solving 3 + 9n = 81 + 45n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-45n' to each side of the equation. 3 + 9n + -45n = 81 + 45n + -45n Combine like terms: 9n + -45n = -36n 3 + -36n = 81 + 45n + -45n Combine like terms: 45n + -45n = 0 3 + -36n = 81 + 0 3 + -36n = 81 Add '-3' to each side of the equation. 3 + -3 + -36n = 81 + -3 Combine like terms: 3 + -3 = 0 0 + -36n = 81 + -3 -36n = 81 + -3 Combine like terms: 81 + -3 = 78 -36n = 78 Divide each side by '-36'. n = -2.166666667 Simplifying n = -2.166666667
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