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Simplifying 3 + 3(1 + 8n) = -162 3 + (1 * 3 + 8n * 3) = -162 3 + (3 + 24n) = -162 Combine like terms: 3 + 3 = 6 6 + 24n = -162 Solving 6 + 24n = -162 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 24n = -162 + -6 Combine like terms: 6 + -6 = 0 0 + 24n = -162 + -6 24n = -162 + -6 Combine like terms: -162 + -6 = -168 24n = -168 Divide each side by '24'. n = -7 Simplifying n = -7
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