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Simplifying 6(3n + 1) = 6(8n + 2) + 7 Reorder the terms: 6(1 + 3n) = 6(8n + 2) + 7 (1 * 6 + 3n * 6) = 6(8n + 2) + 7 (6 + 18n) = 6(8n + 2) + 7 Reorder the terms: 6 + 18n = 6(2 + 8n) + 7 6 + 18n = (2 * 6 + 8n * 6) + 7 6 + 18n = (12 + 48n) + 7 Reorder the terms: 6 + 18n = 12 + 7 + 48n Combine like terms: 12 + 7 = 19 6 + 18n = 19 + 48n Solving 6 + 18n = 19 + 48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-48n' to each side of the equation. 6 + 18n + -48n = 19 + 48n + -48n Combine like terms: 18n + -48n = -30n 6 + -30n = 19 + 48n + -48n Combine like terms: 48n + -48n = 0 6 + -30n = 19 + 0 6 + -30n = 19 Add '-6' to each side of the equation. 6 + -6 + -30n = 19 + -6 Combine like terms: 6 + -6 = 0 0 + -30n = 19 + -6 -30n = 19 + -6 Combine like terms: 19 + -6 = 13 -30n = 13 Divide each side by '-30'. n = -0.4333333333 Simplifying n = -0.4333333333
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