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Simplifying -5(1 + -8n) + 7 = -118 (1 * -5 + -8n * -5) + 7 = -118 (-5 + 40n) + 7 = -118 Reorder the terms: -5 + 7 + 40n = -118 Combine like terms: -5 + 7 = 2 2 + 40n = -118 Solving 2 + 40n = -118 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 40n = -118 + -2 Combine like terms: 2 + -2 = 0 0 + 40n = -118 + -2 40n = -118 + -2 Combine like terms: -118 + -2 = -120 40n = -120 Divide each side by '40'. n = -3 Simplifying n = -3
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