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Simplifying 0.12n + 0.05(3150 + -1n) = 0.07(3150) 0.12n + (3150 * 0.05 + -1n * 0.05) = 0.07(3150) 0.12n + (157.5 + -0.05n) = 0.07(3150) Reorder the terms: 157.5 + 0.12n + -0.05n = 0.07(3150) Combine like terms: 0.12n + -0.05n = 0.07n 157.5 + 0.07n = 0.07(3150) Multiply 0.07 * 3150 157.5 + 0.07n = 220.5 Solving 157.5 + 0.07n = 220.5 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-157.5' to each side of the equation. 157.5 + -157.5 + 0.07n = 220.5 + -157.5 Combine like terms: 157.5 + -157.5 = 0.0 0.0 + 0.07n = 220.5 + -157.5 0.07n = 220.5 + -157.5 Combine like terms: 220.5 + -157.5 = 63 0.07n = 63 Divide each side by '0.07'. n = 900 Simplifying n = 900
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