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Simplifying 0.15n + 0.07(3000 + -1n) = 0.09(3000) 0.15n + (3000 * 0.07 + -1n * 0.07) = 0.09(3000) 0.15n + (210 + -0.07n) = 0.09(3000) Reorder the terms: 210 + 0.15n + -0.07n = 0.09(3000) Combine like terms: 0.15n + -0.07n = 0.08n 210 + 0.08n = 0.09(3000) Multiply 0.09 * 3000 210 + 0.08n = 270 Solving 210 + 0.08n = 270 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-210' to each side of the equation. 210 + -210 + 0.08n = 270 + -210 Combine like terms: 210 + -210 = 0 0 + 0.08n = 270 + -210 0.08n = 270 + -210 Combine like terms: 270 + -210 = 60 0.08n = 60 Divide each side by '0.08'. n = 750 Simplifying n = 750
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