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Simplifying 0.1n = 25 + 0.50(n + -200) Reorder the terms: 0.1n = 25 + 0.50(-200 + n) 0.1n = 25 + (-200 * 0.50 + n * 0.50) 0.1n = 25 + (-100 + 0.50n) Combine like terms: 25 + -100 = -75 0.1n = -75 + 0.50n Solving 0.1n = -75 + 0.50n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.50n' to each side of the equation. 0.1n + -0.50n = -75 + 0.50n + -0.50n Combine like terms: 0.1n + -0.50n = -0.4n -0.4n = -75 + 0.50n + -0.50n Combine like terms: 0.50n + -0.50n = 0.00 -0.4n = -75 + 0.00 -0.4n = -75 Divide each side by '-0.4'. n = 187.5 Simplifying n = 187.5
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