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Simplifying 6(3n + 2) = 8(7n + 5) + 1 Reorder the terms: 6(2 + 3n) = 8(7n + 5) + 1 (2 * 6 + 3n * 6) = 8(7n + 5) + 1 (12 + 18n) = 8(7n + 5) + 1 Reorder the terms: 12 + 18n = 8(5 + 7n) + 1 12 + 18n = (5 * 8 + 7n * 8) + 1 12 + 18n = (40 + 56n) + 1 Reorder the terms: 12 + 18n = 40 + 1 + 56n Combine like terms: 40 + 1 = 41 12 + 18n = 41 + 56n Solving 12 + 18n = 41 + 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. 12 + 18n + -56n = 41 + 56n + -56n Combine like terms: 18n + -56n = -38n 12 + -38n = 41 + 56n + -56n Combine like terms: 56n + -56n = 0 12 + -38n = 41 + 0 12 + -38n = 41 Add '-12' to each side of the equation. 12 + -12 + -38n = 41 + -12 Combine like terms: 12 + -12 = 0 0 + -38n = 41 + -12 -38n = 41 + -12 Combine like terms: 41 + -12 = 29 -38n = 29 Divide each side by '-38'. n = -0.7631578947 Simplifying n = -0.7631578947
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