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Simplifying -9(n + -6) = 8 + -8n Reorder the terms: -9(-6 + n) = 8 + -8n (-6 * -9 + n * -9) = 8 + -8n (54 + -9n) = 8 + -8n Solving 54 + -9n = 8 + -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. 54 + -9n + 8n = 8 + -8n + 8n Combine like terms: -9n + 8n = -1n 54 + -1n = 8 + -8n + 8n Combine like terms: -8n + 8n = 0 54 + -1n = 8 + 0 54 + -1n = 8 Add '-54' to each side of the equation. 54 + -54 + -1n = 8 + -54 Combine like terms: 54 + -54 = 0 0 + -1n = 8 + -54 -1n = 8 + -54 Combine like terms: 8 + -54 = -46 -1n = -46 Divide each side by '-1'. n = 46 Simplifying n = 46
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