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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 = -18 6n = -18 Divide each side by '6'. n = -3 Simplifying n = -3
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