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Simplifying 75 = 5(n + 40) + 2n Reorder the terms: 75 = 5(40 + n) + 2n 75 = (40 * 5 + n * 5) + 2n 75 = (200 + 5n) + 2n Combine like terms: 5n + 2n = 7n 75 = 200 + 7n Solving 75 = 200 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 75 + -7n = 200 + 7n + -7n Combine like terms: 7n + -7n = 0 75 + -7n = 200 + 0 75 + -7n = 200 Add '-75' to each side of the equation. 75 + -75 + -7n = 200 + -75 Combine like terms: 75 + -75 = 0 0 + -7n = 200 + -75 -7n = 200 + -75 Combine like terms: 200 + -75 = 125 -7n = 125 Divide each side by '-7'. n = -17.85714286 Simplifying n = -17.85714286
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