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Simplifying 3(3n + 1) = 7(5n + 6) + 4 Reorder the terms: 3(1 + 3n) = 7(5n + 6) + 4 (1 * 3 + 3n * 3) = 7(5n + 6) + 4 (3 + 9n) = 7(5n + 6) + 4 Reorder the terms: 3 + 9n = 7(6 + 5n) + 4 3 + 9n = (6 * 7 + 5n * 7) + 4 3 + 9n = (42 + 35n) + 4 Reorder the terms: 3 + 9n = 42 + 4 + 35n Combine like terms: 42 + 4 = 46 3 + 9n = 46 + 35n Solving 3 + 9n = 46 + 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 = 46 + 35n + -35n Combine like terms: 9n + -35n = -26n 3 + -26n = 46 + 35n + -35n Combine like terms: 35n + -35n = 0 3 + -26n = 46 + 0 3 + -26n = 46 Add '-3' to each side of the equation. 3 + -3 + -26n = 46 + -3 Combine like terms: 3 + -3 = 0 0 + -26n = 46 + -3 -26n = 46 + -3 Combine like terms: 46 + -3 = 43 -26n = 43 Divide each side by '-26'. n = -1.653846154 Simplifying n = -1.653846154
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