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Simplifying 80(n + 20) + (150)(n) = 54 Reorder the terms: 80(20 + n) + (150)(n) = 54 (20 * 80 + n * 80) + (150)(n) = 54 (1600 + 80n) + (150)(n) = 54 Combine like terms: 80n + 150n = 230n 1600 + 230n = 54 Solving 1600 + 230n = 54 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1600' to each side of the equation. 1600 + -1600 + 230n = 54 + -1600 Combine like terms: 1600 + -1600 = 0 0 + 230n = 54 + -1600 230n = 54 + -1600 Combine like terms: 54 + -1600 = -1546 230n = -1546 Divide each side by '230'. n = -6.72173913 Simplifying n = -6.72173913
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