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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 = 6n 4 + 6n = 14 + 6n + -6n Combine like terms: 6n + -6n = 0 4 + 6n = 14 + 0 4 + 6n = 14 Add '-4' to each side of the equation. 4 + -4 + 6n = 14 + -4 Combine like terms: 4 + -4 = 0 0 + 6n = 14 + -4 6n = 14 + -4 Combine like terms: 14 + -4 = 10 6n = 10 Divide each side by '6'. n = 1.666666667 Simplifying n = 1.666666667
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