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Simplifying -8n + 5(1 + 5n) = -6n + -14 -8n + (1 * 5 + 5n * 5) = -6n + -14 -8n + (5 + 25n) = -6n + -14 Reorder the terms: 5 + -8n + 25n = -6n + -14 Combine like terms: -8n + 25n = 17n 5 + 17n = -6n + -14 Reorder the terms: 5 + 17n = -14 + -6n Solving 5 + 17n = -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. 5 + 17n + 6n = -14 + -6n + 6n Combine like terms: 17n + 6n = 23n 5 + 23n = -14 + -6n + 6n Combine like terms: -6n + 6n = 0 5 + 23n = -14 + 0 5 + 23n = -14 Add '-5' to each side of the equation. 5 + -5 + 23n = -14 + -5 Combine like terms: 5 + -5 = 0 0 + 23n = -14 + -5 23n = -14 + -5 Combine like terms: -14 + -5 = -19 23n = -19 Divide each side by '23'. n = -0.8260869565 Simplifying n = -0.8260869565
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