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Simplifying 0.15n + 0.05(4250 + -1n) = 0.07(4250) 0.15n + (4250 * 0.05 + -1n * 0.05) = 0.07(4250) 0.15n + (212.5 + -0.05n) = 0.07(4250) Reorder the terms: 212.5 + 0.15n + -0.05n = 0.07(4250) Combine like terms: 0.15n + -0.05n = 0.1n 212.5 + 0.1n = 0.07(4250) Multiply 0.07 * 4250 212.5 + 0.1n = 297.5 Solving 212.5 + 0.1n = 297.5 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-212.5' to each side of the equation. 212.5 + -212.5 + 0.1n = 297.5 + -212.5 Combine like terms: 212.5 + -212.5 = 0.0 0.0 + 0.1n = 297.5 + -212.5 0.1n = 297.5 + -212.5 Combine like terms: 297.5 + -212.5 = 85 0.1n = 85 Divide each side by '0.1'. n = 850 Simplifying n = 850
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