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Simplifying -6(n + -6) = 24 + -8n Reorder the terms: -6(-6 + n) = 24 + -8n (-6 * -6 + n * -6) = 24 + -8n (36 + -6n) = 24 + -8n Solving 36 + -6n = 24 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. 36 + -6n + 8n = 24 + -8n + 8n Combine like terms: -6n + 8n = 2n 36 + 2n = 24 + -8n + 8n Combine like terms: -8n + 8n = 0 36 + 2n = 24 + 0 36 + 2n = 24 Add '-36' to each side of the equation. 36 + -36 + 2n = 24 + -36 Combine like terms: 36 + -36 = 0 0 + 2n = 24 + -36 2n = 24 + -36 Combine like terms: 24 + -36 = -12 2n = -12 Divide each side by '2'. n = -6 Simplifying n = -6
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