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Simplifying -8n + 4(1 + 5n) = (-6n) + -14 -8n + (1 * 4 + 5n * 4) = (-6n) + -14 -8n + (4 + 20n) = (-6n) + -14 Reorder the terms: 4 + -8n + 20n = (-6n) + -14 Combine like terms: -8n + 20n = 12n 4 + 12n = (-6n) + -14 Reorder the terms: 4 + 12n = -14 + (-6n) Solving 4 + 12n = -14 + (-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) = -14 + (-6n) + (6n) Combine like terms: 12n + (6n) = 18n 4 + 18n = -14 + (-6n) + (6n) Combine like terms: (-6n) + (6n) = 0 4 + 18n = -14 + 0 4 + 18n = -14 Add '-4' to each side of the equation. 4 + -4 + 18n = -14 + -4 Combine like terms: 4 + -4 = 0 0 + 18n = -14 + -4 18n = -14 + -4 Combine like terms: -14 + -4 = -18 18n = -18 Divide each side by '18'. n = -1 Simplifying n = -1
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