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Simplifying 6(3n + 2) = 6(8n + 8) + 9 Reorder the terms: 6(2 + 3n) = 6(8n + 8) + 9 (2 * 6 + 3n * 6) = 6(8n + 8) + 9 (12 + 18n) = 6(8n + 8) + 9 Reorder the terms: 12 + 18n = 6(8 + 8n) + 9 12 + 18n = (8 * 6 + 8n * 6) + 9 12 + 18n = (48 + 48n) + 9 Reorder the terms: 12 + 18n = 48 + 9 + 48n Combine like terms: 48 + 9 = 57 12 + 18n = 57 + 48n Solving 12 + 18n = 57 + 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. 12 + 18n + -48n = 57 + 48n + -48n Combine like terms: 18n + -48n = -30n 12 + -30n = 57 + 48n + -48n Combine like terms: 48n + -48n = 0 12 + -30n = 57 + 0 12 + -30n = 57 Add '-12' to each side of the equation. 12 + -12 + -30n = 57 + -12 Combine like terms: 12 + -12 = 0 0 + -30n = 57 + -12 -30n = 57 + -12 Combine like terms: 57 + -12 = 45 -30n = 45 Divide each side by '-30'. n = -1.5 Simplifying n = -1.5
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