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Simplifying 6(3n + 2) = 7(8n + 4) + 6 Reorder the terms: 6(2 + 3n) = 7(8n + 4) + 6 (2 * 6 + 3n * 6) = 7(8n + 4) + 6 (12 + 18n) = 7(8n + 4) + 6 Reorder the terms: 12 + 18n = 7(4 + 8n) + 6 12 + 18n = (4 * 7 + 8n * 7) + 6 12 + 18n = (28 + 56n) + 6 Reorder the terms: 12 + 18n = 28 + 6 + 56n Combine like terms: 28 + 6 = 34 12 + 18n = 34 + 56n Solving 12 + 18n = 34 + 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 = 34 + 56n + -56n Combine like terms: 18n + -56n = -38n 12 + -38n = 34 + 56n + -56n Combine like terms: 56n + -56n = 0 12 + -38n = 34 + 0 12 + -38n = 34 Add '-12' to each side of the equation. 12 + -12 + -38n = 34 + -12 Combine like terms: 12 + -12 = 0 0 + -38n = 34 + -12 -38n = 34 + -12 Combine like terms: 34 + -12 = 22 -38n = 22 Divide each side by '-38'. n = -0.5789473684 Simplifying n = -0.5789473684
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