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Simplifying 8n + 3(n + 4) + -5 = 9n + 2 Reorder the terms: 8n + 3(4 + n) + -5 = 9n + 2 8n + (4 * 3 + n * 3) + -5 = 9n + 2 8n + (12 + 3n) + -5 = 9n + 2 Reorder the terms: 12 + -5 + 8n + 3n = 9n + 2 Combine like terms: 12 + -5 = 7 7 + 8n + 3n = 9n + 2 Combine like terms: 8n + 3n = 11n 7 + 11n = 9n + 2 Reorder the terms: 7 + 11n = 2 + 9n Solving 7 + 11n = 2 + 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. 7 + 11n + -9n = 2 + 9n + -9n Combine like terms: 11n + -9n = 2n 7 + 2n = 2 + 9n + -9n Combine like terms: 9n + -9n = 0 7 + 2n = 2 + 0 7 + 2n = 2 Add '-7' to each side of the equation. 7 + -7 + 2n = 2 + -7 Combine like terms: 7 + -7 = 0 0 + 2n = 2 + -7 2n = 2 + -7 Combine like terms: 2 + -7 = -5 2n = -5 Divide each side by '2'. n = -2.5 Simplifying n = -2.5
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