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Simplifying 80(20 + -1n) + -1(150)(n) = 54 (20 * 80 + -1n * 80) + -1(150)(n) = 54 (1600 + -80n) + -1(150)(n) = 54 Multiply -1 * 150 1600 + -80n + -150n = 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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