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Simplifying -8n + 8(1 + 5n) = -6n + -14 -8n + (1 * 8 + 5n * 8) = -6n + -14 -8n + (8 + 40n) = -6n + -14 Reorder the terms: 8 + -8n + 40n = -6n + -14 Combine like terms: -8n + 40n = 32n 8 + 32n = -6n + -14 Reorder the terms: 8 + 32n = -14 + -6n Solving 8 + 32n = -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. 8 + 32n + 6n = -14 + -6n + 6n Combine like terms: 32n + 6n = 38n 8 + 38n = -14 + -6n + 6n Combine like terms: -6n + 6n = 0 8 + 38n = -14 + 0 8 + 38n = -14 Add '-8' to each side of the equation. 8 + -8 + 38n = -14 + -8 Combine like terms: 8 + -8 = 0 0 + 38n = -14 + -8 38n = -14 + -8 Combine like terms: -14 + -8 = -22 38n = -22 Divide each side by '38'. n = -0.5789473684 Simplifying n = -0.5789473684
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