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Simplifying 6(3n + 5) = 8(6n + 5) + 9 Reorder the terms: 6(5 + 3n) = 8(6n + 5) + 9 (5 * 6 + 3n * 6) = 8(6n + 5) + 9 (30 + 18n) = 8(6n + 5) + 9 Reorder the terms: 30 + 18n = 8(5 + 6n) + 9 30 + 18n = (5 * 8 + 6n * 8) + 9 30 + 18n = (40 + 48n) + 9 Reorder the terms: 30 + 18n = 40 + 9 + 48n Combine like terms: 40 + 9 = 49 30 + 18n = 49 + 48n Solving 30 + 18n = 49 + 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. 30 + 18n + -48n = 49 + 48n + -48n Combine like terms: 18n + -48n = -30n 30 + -30n = 49 + 48n + -48n Combine like terms: 48n + -48n = 0 30 + -30n = 49 + 0 30 + -30n = 49 Add '-30' to each side of the equation. 30 + -30 + -30n = 49 + -30 Combine like terms: 30 + -30 = 0 0 + -30n = 49 + -30 -30n = 49 + -30 Combine like terms: 49 + -30 = 19 -30n = 19 Divide each side by '-30'. n = -0.6333333333 Simplifying n = -0.6333333333
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