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Simplifying 4.7(4.8n + 5.976) + 6.285n = 169.4277 Reorder the terms: 4.7(5.976 + 4.8n) + 6.285n = 169.4277 (5.976 * 4.7 + 4.8n * 4.7) + 6.285n = 169.4277 (28.0872 + 22.56n) + 6.285n = 169.4277 Combine like terms: 22.56n + 6.285n = 28.845n 28.0872 + 28.845n = 169.4277 Solving 28.0872 + 28.845n = 169.4277 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28.0872' to each side of the equation. 28.0872 + -28.0872 + 28.845n = 169.4277 + -28.0872 Combine like terms: 28.0872 + -28.0872 = 0.0000 0.0000 + 28.845n = 169.4277 + -28.0872 28.845n = 169.4277 + -28.0872 Combine like terms: 169.4277 + -28.0872 = 141.3405 28.845n = 141.3405 Divide each side by '28.845'. n = 4.9 Simplifying n = 4.9
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