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Simplifying -8n + 4(1 + 5n) = -1n + -14 -8n + (1 * 4 + 5n * 4) = -1n + -14 -8n + (4 + 20n) = -1n + -14 Reorder the terms: 4 + -8n + 20n = -1n + -14 Combine like terms: -8n + 20n = 12n 4 + 12n = -1n + -14 Reorder the terms: 4 + 12n = -14 + -1n Solving 4 + 12n = -14 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 4 + 12n + n = -14 + -1n + n Combine like terms: 12n + n = 13n 4 + 13n = -14 + -1n + n Combine like terms: -1n + n = 0 4 + 13n = -14 + 0 4 + 13n = -14 Add '-4' to each side of the equation. 4 + -4 + 13n = -14 + -4 Combine like terms: 4 + -4 = 0 0 + 13n = -14 + -4 13n = -14 + -4 Combine like terms: -14 + -4 = -18 13n = -18 Divide each side by '13'. n = -1.384615385 Simplifying n = -1.384615385
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