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Simplifying 8n + 12 + 3n = 40 + 9n + -57 Reorder the terms: 12 + 8n + 3n = 40 + 9n + -57 Combine like terms: 8n + 3n = 11n 12 + 11n = 40 + 9n + -57 Reorder the terms: 12 + 11n = 40 + -57 + 9n Combine like terms: 40 + -57 = -17 12 + 11n = -17 + 9n Solving 12 + 11n = -17 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 12 + 11n + -9n = -17 + 9n + -9n Combine like terms: 11n + -9n = 2n 12 + 2n = -17 + 9n + -9n Combine like terms: 9n + -9n = 0 12 + 2n = -17 + 0 12 + 2n = -17 Add '-12' to each side of the equation. 12 + -12 + 2n = -17 + -12 Combine like terms: 12 + -12 = 0 0 + 2n = -17 + -12 2n = -17 + -12 Combine like terms: -17 + -12 = -29 2n = -29 Divide each side by '2'. n = -14.5 Simplifying n = -14.5
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