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Simplifying 0.12n + 0.07(2250 + -1n) = 0.09(2250) 0.12n + (2250 * 0.07 + -1n * 0.07) = 0.09(2250) 0.12n + (157.5 + -0.07n) = 0.09(2250) Reorder the terms: 157.5 + 0.12n + -0.07n = 0.09(2250) Combine like terms: 0.12n + -0.07n = 0.05n 157.5 + 0.05n = 0.09(2250) Multiply 0.09 * 2250 157.5 + 0.05n = 202.5 Solving 157.5 + 0.05n = 202.5 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 + 0.05n = 202.5 + -157.5 Combine like terms: 157.5 + -157.5 = 0.0 0.0 + 0.05n = 202.5 + -157.5 0.05n = 202.5 + -157.5 Combine like terms: 202.5 + -157.5 = 45 0.05n = 45 Divide each side by '0.05'. n = 900 Simplifying n = 900
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