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Simplifying 0.13n + 0.07(5700 + -1n) = 0.08(5700) 0.13n + (5700 * 0.07 + -1n * 0.07) = 0.08(5700) 0.13n + (399 + -0.07n) = 0.08(5700) Reorder the terms: 399 + 0.13n + -0.07n = 0.08(5700) Combine like terms: 0.13n + -0.07n = 0.06n 399 + 0.06n = 0.08(5700) Multiply 0.08 * 5700 399 + 0.06n = 456 Solving 399 + 0.06n = 456 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-399' to each side of the equation. 399 + -399 + 0.06n = 456 + -399 Combine like terms: 399 + -399 = 0 0 + 0.06n = 456 + -399 0.06n = 456 + -399 Combine like terms: 456 + -399 = 57 0.06n = 57 Divide each side by '0.06'. n = 950 Simplifying n = 950
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