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Simplifying 3(3n + 1) = 7(5n + 8) + 1 Reorder the terms: 3(1 + 3n) = 7(5n + 8) + 1 (1 * 3 + 3n * 3) = 7(5n + 8) + 1 (3 + 9n) = 7(5n + 8) + 1 Reorder the terms: 3 + 9n = 7(8 + 5n) + 1 3 + 9n = (8 * 7 + 5n * 7) + 1 3 + 9n = (56 + 35n) + 1 Reorder the terms: 3 + 9n = 56 + 1 + 35n Combine like terms: 56 + 1 = 57 3 + 9n = 57 + 35n Solving 3 + 9n = 57 + 35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35n' to each side of the equation. 3 + 9n + -35n = 57 + 35n + -35n Combine like terms: 9n + -35n = -26n 3 + -26n = 57 + 35n + -35n Combine like terms: 35n + -35n = 0 3 + -26n = 57 + 0 3 + -26n = 57 Add '-3' to each side of the equation. 3 + -3 + -26n = 57 + -3 Combine like terms: 3 + -3 = 0 0 + -26n = 57 + -3 -26n = 57 + -3 Combine like terms: 57 + -3 = 54 -26n = 54 Divide each side by '-26'. n = -2.076923077 Simplifying n = -2.076923077
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