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Simplifying 9(2n + 4) = 6(8n + 3) + 9 Reorder the terms: 9(4 + 2n) = 6(8n + 3) + 9 (4 * 9 + 2n * 9) = 6(8n + 3) + 9 (36 + 18n) = 6(8n + 3) + 9 Reorder the terms: 36 + 18n = 6(3 + 8n) + 9 36 + 18n = (3 * 6 + 8n * 6) + 9 36 + 18n = (18 + 48n) + 9 Reorder the terms: 36 + 18n = 18 + 9 + 48n Combine like terms: 18 + 9 = 27 36 + 18n = 27 + 48n Solving 36 + 18n = 27 + 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. 36 + 18n + -48n = 27 + 48n + -48n Combine like terms: 18n + -48n = -30n 36 + -30n = 27 + 48n + -48n Combine like terms: 48n + -48n = 0 36 + -30n = 27 + 0 36 + -30n = 27 Add '-36' to each side of the equation. 36 + -36 + -30n = 27 + -36 Combine like terms: 36 + -36 = 0 0 + -30n = 27 + -36 -30n = 27 + -36 Combine like terms: 27 + -36 = -9 -30n = -9 Divide each side by '-30'. n = 0.3 Simplifying n = 0.3
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