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Simplifying 0.11n + 0.06(1750 + -1n) = 0.08(1750) 0.11n + (1750 * 0.06 + -1n * 0.06) = 0.08(1750) 0.11n + (105 + -0.06n) = 0.08(1750) Reorder the terms: 105 + 0.11n + -0.06n = 0.08(1750) Combine like terms: 0.11n + -0.06n = 0.05n 105 + 0.05n = 0.08(1750) Multiply 0.08 * 1750 105 + 0.05n = 140 Solving 105 + 0.05n = 140 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-105' to each side of the equation. 105 + -105 + 0.05n = 140 + -105 Combine like terms: 105 + -105 = 0 0 + 0.05n = 140 + -105 0.05n = 140 + -105 Combine like terms: 140 + -105 = 35 0.05n = 35 Divide each side by '0.05'. n = 700 Simplifying n = 700
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