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Simplifying 3(n + 8) + -2(1 + -4n) = 44 Reorder the terms: 3(8 + n) + -2(1 + -4n) = 44 (8 * 3 + n * 3) + -2(1 + -4n) = 44 (24 + 3n) + -2(1 + -4n) = 44 24 + 3n + (1 * -2 + -4n * -2) = 44 24 + 3n + (-2 + 8n) = 44 Reorder the terms: 24 + -2 + 3n + 8n = 44 Combine like terms: 24 + -2 = 22 22 + 3n + 8n = 44 Combine like terms: 3n + 8n = 11n 22 + 11n = 44 Solving 22 + 11n = 44 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 11n = 44 + -22 Combine like terms: 22 + -22 = 0 0 + 11n = 44 + -22 11n = 44 + -22 Combine like terms: 44 + -22 = 22 11n = 22 Divide each side by '11'. n = 2 Simplifying n = 2
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