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Simplifying 6(3n + 4) = 8(7n + 8) + 3 Reorder the terms: 6(4 + 3n) = 8(7n + 8) + 3 (4 * 6 + 3n * 6) = 8(7n + 8) + 3 (24 + 18n) = 8(7n + 8) + 3 Reorder the terms: 24 + 18n = 8(8 + 7n) + 3 24 + 18n = (8 * 8 + 7n * 8) + 3 24 + 18n = (64 + 56n) + 3 Reorder the terms: 24 + 18n = 64 + 3 + 56n Combine like terms: 64 + 3 = 67 24 + 18n = 67 + 56n Solving 24 + 18n = 67 + 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. 24 + 18n + -56n = 67 + 56n + -56n Combine like terms: 18n + -56n = -38n 24 + -38n = 67 + 56n + -56n Combine like terms: 56n + -56n = 0 24 + -38n = 67 + 0 24 + -38n = 67 Add '-24' to each side of the equation. 24 + -24 + -38n = 67 + -24 Combine like terms: 24 + -24 = 0 0 + -38n = 67 + -24 -38n = 67 + -24 Combine like terms: 67 + -24 = 43 -38n = 43 Divide each side by '-38'. n = -1.131578947 Simplifying n = -1.131578947
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