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Simplifying 0.14n + 0.05(2475 + -1n) = 0.07(2475) 0.14n + (2475 * 0.05 + -1n * 0.05) = 0.07(2475) 0.14n + (123.75 + -0.05n) = 0.07(2475) Reorder the terms: 123.75 + 0.14n + -0.05n = 0.07(2475) Combine like terms: 0.14n + -0.05n = 0.09n 123.75 + 0.09n = 0.07(2475) Multiply 0.07 * 2475 123.75 + 0.09n = 173.25 Solving 123.75 + 0.09n = 173.25 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-123.75' to each side of the equation. 123.75 + -123.75 + 0.09n = 173.25 + -123.75 Combine like terms: 123.75 + -123.75 = 0.00 0.00 + 0.09n = 173.25 + -123.75 0.09n = 173.25 + -123.75 Combine like terms: 173.25 + -123.75 = 49.5 0.09n = 49.5 Divide each side by '0.09'. n = 550 Simplifying n = 550
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