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Simplifying -8n + 4(1 + 5n) = n + -14 -8n + (1 * 4 + 5n * 4) = n + -14 -8n + (4 + 20n) = n + -14 Reorder the terms: 4 + -8n + 20n = n + -14 Combine like terms: -8n + 20n = 12n 4 + 12n = n + -14 Reorder the terms: 4 + 12n = -14 + n Solving 4 + 12n = -14 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 4 + 12n + -1n = -14 + n + -1n Combine like terms: 12n + -1n = 11n 4 + 11n = -14 + n + -1n Combine like terms: n + -1n = 0 4 + 11n = -14 + 0 4 + 11n = -14 Add '-4' to each side of the equation. 4 + -4 + 11n = -14 + -4 Combine like terms: 4 + -4 = 0 0 + 11n = -14 + -4 11n = -14 + -4 Combine like terms: -14 + -4 = -18 11n = -18 Divide each side by '11'. n = -1.636363636 Simplifying n = -1.636363636
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