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Simplifying 6(3n + 5) = 8(7n + 8) + 5 Reorder the terms: 6(5 + 3n) = 8(7n + 8) + 5 (5 * 6 + 3n * 6) = 8(7n + 8) + 5 (30 + 18n) = 8(7n + 8) + 5 Reorder the terms: 30 + 18n = 8(8 + 7n) + 5 30 + 18n = (8 * 8 + 7n * 8) + 5 30 + 18n = (64 + 56n) + 5 Reorder the terms: 30 + 18n = 64 + 5 + 56n Combine like terms: 64 + 5 = 69 30 + 18n = 69 + 56n Solving 30 + 18n = 69 + 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. 30 + 18n + -56n = 69 + 56n + -56n Combine like terms: 18n + -56n = -38n 30 + -38n = 69 + 56n + -56n Combine like terms: 56n + -56n = 0 30 + -38n = 69 + 0 30 + -38n = 69 Add '-30' to each side of the equation. 30 + -30 + -38n = 69 + -30 Combine like terms: 30 + -30 = 0 0 + -38n = 69 + -30 -38n = 69 + -30 Combine like terms: 69 + -30 = 39 -38n = 39 Divide each side by '-38'. n = -1.026315789 Simplifying n = -1.026315789
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