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Simplifying 7.5(40 + n) + 11.25n = 339.38 (40 * 7.5 + n * 7.5) + 11.25n = 339.38 (300 + 7.5n) + 11.25n = 339.38 Combine like terms: 7.5n + 11.25n = 18.75n 300 + 18.75n = 339.38 Solving 300 + 18.75n = 339.38 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-300' to each side of the equation. 300 + -300 + 18.75n = 339.38 + -300 Combine like terms: 300 + -300 = 0 0 + 18.75n = 339.38 + -300 18.75n = 339.38 + -300 Combine like terms: 339.38 + -300 = 39.38 18.75n = 39.38 Divide each side by '18.75'. n = 2.100266667 Simplifying n = 2.100266667
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