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Simplifying -8n + 3(1 + 5n) = -6n + -14 -8n + (1 * 3 + 5n * 3) = -6n + -14 -8n + (3 + 15n) = -6n + -14 Reorder the terms: 3 + -8n + 15n = -6n + -14 Combine like terms: -8n + 15n = 7n 3 + 7n = -6n + -14 Reorder the terms: 3 + 7n = -14 + -6n Solving 3 + 7n = -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. 3 + 7n + 6n = -14 + -6n + 6n Combine like terms: 7n + 6n = 13n 3 + 13n = -14 + -6n + 6n Combine like terms: -6n + 6n = 0 3 + 13n = -14 + 0 3 + 13n = -14 Add '-3' to each side of the equation. 3 + -3 + 13n = -14 + -3 Combine like terms: 3 + -3 = 0 0 + 13n = -14 + -3 13n = -14 + -3 Combine like terms: -14 + -3 = -17 13n = -17 Divide each side by '13'. n = -1.307692308 Simplifying n = -1.307692308
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