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Simplifying -8n + 4(1 + 5n) = 6n + -14n -8n + (1 * 4 + 5n * 4) = 6n + -14n -8n + (4 + 20n) = 6n + -14n Reorder the terms: 4 + -8n + 20n = 6n + -14n Combine like terms: -8n + 20n = 12n 4 + 12n = 6n + -14n Combine like terms: 6n + -14n = -8n 4 + 12n = -8n Solving 4 + 12n = -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 + 12n + 8n = -8n + 8n Combine like terms: 12n + 8n = 20n 4 + 20n = -8n + 8n Combine like terms: -8n + 8n = 0 4 + 20n = 0 Add '-4' to each side of the equation. 4 + -4 + 20n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 20n = 0 + -4 20n = 0 + -4 Combine like terms: 0 + -4 = -4 20n = -4 Divide each side by '20'. n = -0.2 Simplifying n = -0.2
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