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Simplifying 5(3n + 1) = 8(7n + 6) + 3 Reorder the terms: 5(1 + 3n) = 8(7n + 6) + 3 (1 * 5 + 3n * 5) = 8(7n + 6) + 3 (5 + 15n) = 8(7n + 6) + 3 Reorder the terms: 5 + 15n = 8(6 + 7n) + 3 5 + 15n = (6 * 8 + 7n * 8) + 3 5 + 15n = (48 + 56n) + 3 Reorder the terms: 5 + 15n = 48 + 3 + 56n Combine like terms: 48 + 3 = 51 5 + 15n = 51 + 56n Solving 5 + 15n = 51 + 56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-56n' to each side of the equation. 5 + 15n + -56n = 51 + 56n + -56n Combine like terms: 15n + -56n = -41n 5 + -41n = 51 + 56n + -56n Combine like terms: 56n + -56n = 0 5 + -41n = 51 + 0 5 + -41n = 51 Add '-5' to each side of the equation. 5 + -5 + -41n = 51 + -5 Combine like terms: 5 + -5 = 0 0 + -41n = 51 + -5 -41n = 51 + -5 Combine like terms: 51 + -5 = 46 -41n = 46 Divide each side by '-41'. n = -1.12195122 Simplifying n = -1.12195122
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