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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 = -28n 4 + -28n = -6n + -14 Reorder the terms: 4 + -28n = -14 + -6n Solving 4 + -28n = -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 + -28n + 6n = -14 + -6n + 6n Combine like terms: -28n + 6n = -22n 4 + -22n = -14 + -6n + 6n Combine like terms: -6n + 6n = 0 4 + -22n = -14 + 0 4 + -22n = -14 Add '-4' to each side of the equation. 4 + -4 + -22n = -14 + -4 Combine like terms: 4 + -4 = 0 0 + -22n = -14 + -4 -22n = -14 + -4 Combine like terms: -14 + -4 = -18 -22n = -18 Divide each side by '-22'. n = 0.8181818182 Simplifying n = 0.8181818182
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