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Simplifying 0.13n + 0.04(2250 + -1n) = 0.09(2250) 0.13n + (2250 * 0.04 + -1n * 0.04) = 0.09(2250) 0.13n + (90 + -0.04n) = 0.09(2250) Reorder the terms: 90 + 0.13n + -0.04n = 0.09(2250) Combine like terms: 0.13n + -0.04n = 0.09n 90 + 0.09n = 0.09(2250) Multiply 0.09 * 2250 90 + 0.09n = 202.5 Solving 90 + 0.09n = 202.5 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + 0.09n = 202.5 + -90 Combine like terms: 90 + -90 = 0 0 + 0.09n = 202.5 + -90 0.09n = 202.5 + -90 Combine like terms: 202.5 + -90 = 112.5 0.09n = 112.5 Divide each side by '0.09'. n = 1250 Simplifying n = 1250
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