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Simplifying 0.5n + 0.10(-1n + 200) = 14 Reorder the terms: 0.5n + 0.10(200 + -1n) = 14 0.5n + (200 * 0.10 + -1n * 0.10) = 14 0.5n + (20 + -0.1n) = 14 Reorder the terms: 20 + 0.5n + -0.1n = 14 Combine like terms: 0.5n + -0.1n = 0.4n 20 + 0.4n = 14 Solving 20 + 0.4n = 14 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 0.4n = 14 + -20 Combine like terms: 20 + -20 = 0 0 + 0.4n = 14 + -20 0.4n = 14 + -20 Combine like terms: 14 + -20 = -6 0.4n = -6 Divide each side by '0.4'. n = -15 Simplifying n = -15
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