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Simplifying -8(n + -10) = -40 + 4n Reorder the terms: -8(-10 + n) = -40 + 4n (-10 * -8 + n * -8) = -40 + 4n (80 + -8n) = -40 + 4n Solving 80 + -8n = -40 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 80 + -8n + -4n = -40 + 4n + -4n Combine like terms: -8n + -4n = -12n 80 + -12n = -40 + 4n + -4n Combine like terms: 4n + -4n = 0 80 + -12n = -40 + 0 80 + -12n = -40 Add '-80' to each side of the equation. 80 + -80 + -12n = -40 + -80 Combine like terms: 80 + -80 = 0 0 + -12n = -40 + -80 -12n = -40 + -80 Combine like terms: -40 + -80 = -120 -12n = -120 Divide each side by '-12'. n = 10 Simplifying n = 10
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