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Simplifying 3n + 3(1 + 8n) = 0 3n + (1 * 3 + 8n * 3) = 0 3n + (3 + 24n) = 0 Reorder the terms: 3 + 3n + 24n = 0 Combine like terms: 3n + 24n = 27n 3 + 27n = 0 Solving 3 + 27n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 27n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 27n = 0 + -3 27n = 0 + -3 Combine like terms: 0 + -3 = -3 27n = -3 Divide each side by '27'. n = -0.1111111111 Simplifying n = -0.1111111111
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