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Simplifying -8n + 4(1 + 5n) = -6n + -4 -8n + (1 * 4 + 5n * 4) = -6n + -4 -8n + (4 + 20n) = -6n + -4 Reorder the terms: 4 + -8n + 20n = -6n + -4 Combine like terms: -8n + 20n = 12n 4 + 12n = -6n + -4 Reorder the terms: 4 + 12n = -4 + -6n Solving 4 + 12n = -4 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 4 + 12n + 6n = -4 + -6n + 6n Combine like terms: 12n + 6n = 18n 4 + 18n = -4 + -6n + 6n Combine like terms: -6n + 6n = 0 4 + 18n = -4 + 0 4 + 18n = -4 Add '-4' to each side of the equation. 4 + -4 + 18n = -4 + -4 Combine like terms: 4 + -4 = 0 0 + 18n = -4 + -4 18n = -4 + -4 Combine like terms: -4 + -4 = -8 18n = -8 Divide each side by '18'. n = -0.4444444444 Simplifying n = -0.4444444444
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