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Simplifying 3(6 + -4n) + -3(-8n + -3) = 27 (6 * 3 + -4n * 3) + -3(-8n + -3) = 27 (18 + -12n) + -3(-8n + -3) = 27 Reorder the terms: 18 + -12n + -3(-3 + -8n) = 27 18 + -12n + (-3 * -3 + -8n * -3) = 27 18 + -12n + (9 + 24n) = 27 Reorder the terms: 18 + 9 + -12n + 24n = 27 Combine like terms: 18 + 9 = 27 27 + -12n + 24n = 27 Combine like terms: -12n + 24n = 12n 27 + 12n = 27 Add '-27' to each side of the equation. 27 + -27 + 12n = 27 + -27 Combine like terms: 27 + -27 = 0 0 + 12n = 27 + -27 12n = 27 + -27 Combine like terms: 27 + -27 = 0 12n = 0 Solving 12n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Divide each side by '12'. n = 0 Simplifying n = 0
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