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Simplifying 8n + -1(1 + -4n) = -85 8n + (1 * -1 + -4n * -1) = -85 8n + (-1 + 4n) = -85 Reorder the terms: -1 + 8n + 4n = -85 Combine like terms: 8n + 4n = 12n -1 + 12n = -85 Solving -1 + 12n = -85 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 12n = -85 + 1 Combine like terms: -1 + 1 = 0 0 + 12n = -85 + 1 12n = -85 + 1 Combine like terms: -85 + 1 = -84 12n = -84 Divide each side by '12'. n = -7 Simplifying n = -7
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