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Simplifying 0.14n + 0.07(4900 + -1n) = 0.08(4900) 0.14n + (4900 * 0.07 + -1n * 0.07) = 0.08(4900) 0.14n + (343 + -0.07n) = 0.08(4900) Reorder the terms: 343 + 0.14n + -0.07n = 0.08(4900) Combine like terms: 0.14n + -0.07n = 0.07n 343 + 0.07n = 0.08(4900) Multiply 0.08 * 4900 343 + 0.07n = 392 Solving 343 + 0.07n = 392 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-343' to each side of the equation. 343 + -343 + 0.07n = 392 + -343 Combine like terms: 343 + -343 = 0 0 + 0.07n = 392 + -343 0.07n = 392 + -343 Combine like terms: 392 + -343 = 49 0.07n = 49 Divide each side by '0.07'. n = 700 Simplifying n = 700
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