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Simplifying 3.8 = 8.5(8n + -4.6) Reorder the terms: 3.8 = 8.5(-4.6 + 8n) 3.8 = (-4.6 * 8.5 + 8n * 8.5) 3.8 = (-39.1 + 68n) Solving 3.8 = -39.1 + 68n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-68n' to each side of the equation. 3.8 + -68n = -39.1 + 68n + -68n Combine like terms: 68n + -68n = 0 3.8 + -68n = -39.1 + 0 3.8 + -68n = -39.1 Add '-3.8' to each side of the equation. 3.8 + -3.8 + -68n = -39.1 + -3.8 Combine like terms: 3.8 + -3.8 = 0.0 0.0 + -68n = -39.1 + -3.8 -68n = -39.1 + -3.8 Combine like terms: -39.1 + -3.8 = -42.9 -68n = -42.9 Divide each side by '-68'. n = 0.6308823529 Simplifying n = 0.6308823529
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