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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 = 34n 4 + 34n = -14 + -6n + 6n Combine like terms: -6n + 6n = 0 4 + 34n = -14 + 0 4 + 34n = -14 Add '-4' to each side of the equation. 4 + -4 + 34n = -14 + -4 Combine like terms: 4 + -4 = 0 0 + 34n = -14 + -4 34n = -14 + -4 Combine like terms: -14 + -4 = -18 34n = -18 Divide each side by '34'. n = -0.5294117647 Simplifying n = -0.5294117647
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