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Simplifying 6(2n + -5) = -30 + 4n Reorder the terms: 6(-5 + 2n) = -30 + 4n (-5 * 6 + 2n * 6) = -30 + 4n (-30 + 12n) = -30 + 4n Add '30' to each side of the equation. -30 + 30 + 12n = -30 + 30 + 4n Combine like terms: -30 + 30 = 0 0 + 12n = -30 + 30 + 4n 12n = -30 + 30 + 4n Combine like terms: -30 + 30 = 0 12n = 0 + 4n 12n = 4n Solving 12n = 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 12n + -4n = 4n + -4n Combine like terms: 12n + -4n = 8n 8n = 4n + -4n Combine like terms: 4n + -4n = 0 8n = 0 Divide each side by '8'. n = 0 Simplifying n = 0
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