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Simplifying 35 = 0.28n + 0.42(n + -200) Reorder the terms: 35 = 0.28n + 0.42(-200 + n) 35 = 0.28n + (-200 * 0.42 + n * 0.42) 35 = 0.28n + (-84 + 0.42n) Reorder the terms: 35 = -84 + 0.28n + 0.42n Combine like terms: 0.28n + 0.42n = 0.7n 35 = -84 + 0.7n Solving 35 = -84 + 0.7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.7n' to each side of the equation. 35 + -0.7n = -84 + 0.7n + -0.7n Combine like terms: 0.7n + -0.7n = 0.0 35 + -0.7n = -84 + 0.0 35 + -0.7n = -84 Add '-35' to each side of the equation. 35 + -35 + -0.7n = -84 + -35 Combine like terms: 35 + -35 = 0 0 + -0.7n = -84 + -35 -0.7n = -84 + -35 Combine like terms: -84 + -35 = -119 -0.7n = -119 Divide each side by '-0.7'. n = 170 Simplifying n = 170
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