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Simplifying -4(1 + 5n) = -40 + -8n (1 * -4 + 5n * -4) = -40 + -8n (-4 + -20n) = -40 + -8n Solving -4 + -20n = -40 + -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. -4 + -20n + 8n = -40 + -8n + 8n Combine like terms: -20n + 8n = -12n -4 + -12n = -40 + -8n + 8n Combine like terms: -8n + 8n = 0 -4 + -12n = -40 + 0 -4 + -12n = -40 Add '4' to each side of the equation. -4 + 4 + -12n = -40 + 4 Combine like terms: -4 + 4 = 0 0 + -12n = -40 + 4 -12n = -40 + 4 Combine like terms: -40 + 4 = -36 -12n = -36 Divide each side by '-12'. n = 3 Simplifying n = 3
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