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Simplifying 0.12n + 0.07(4750 + -1n) = 0.08(4750) 0.12n + (4750 * 0.07 + -1n * 0.07) = 0.08(4750) 0.12n + (332.5 + -0.07n) = 0.08(4750) Reorder the terms: 332.5 + 0.12n + -0.07n = 0.08(4750) Combine like terms: 0.12n + -0.07n = 0.05n 332.5 + 0.05n = 0.08(4750) Multiply 0.08 * 4750 332.5 + 0.05n = 380 Solving 332.5 + 0.05n = 380 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-332.5' to each side of the equation. 332.5 + -332.5 + 0.05n = 380 + -332.5 Combine like terms: 332.5 + -332.5 = 0.0 0.0 + 0.05n = 380 + -332.5 0.05n = 380 + -332.5 Combine like terms: 380 + -332.5 = 47.5 0.05n = 47.5 Divide each side by '0.05'. n = 950 Simplifying n = 950
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