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Simplifying 6(3n + 1) = 8(6n + 5) + 4 Reorder the terms: 6(1 + 3n) = 8(6n + 5) + 4 (1 * 6 + 3n * 6) = 8(6n + 5) + 4 (6 + 18n) = 8(6n + 5) + 4 Reorder the terms: 6 + 18n = 8(5 + 6n) + 4 6 + 18n = (5 * 8 + 6n * 8) + 4 6 + 18n = (40 + 48n) + 4 Reorder the terms: 6 + 18n = 40 + 4 + 48n Combine like terms: 40 + 4 = 44 6 + 18n = 44 + 48n Solving 6 + 18n = 44 + 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 = 44 + 48n + -48n Combine like terms: 18n + -48n = -30n 6 + -30n = 44 + 48n + -48n Combine like terms: 48n + -48n = 0 6 + -30n = 44 + 0 6 + -30n = 44 Add '-6' to each side of the equation. 6 + -6 + -30n = 44 + -6 Combine like terms: 6 + -6 = 0 0 + -30n = 44 + -6 -30n = 44 + -6 Combine like terms: 44 + -6 = 38 -30n = 38 Divide each side by '-30'. n = -1.266666667 Simplifying n = -1.266666667
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