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Simplifying 5(-8n + 7) = -125 Reorder the terms: 5(7 + -8n) = -125 (7 * 5 + -8n * 5) = -125 (35 + -40n) = -125 Solving 35 + -40n = -125 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -40n = -125 + -35 Combine like terms: 35 + -35 = 0 0 + -40n = -125 + -35 -40n = -125 + -35 Combine like terms: -125 + -35 = -160 -40n = -160 Divide each side by '-40'. n = 4 Simplifying n = 4
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