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Simplifying 0.12n + 0.06(2850 + -1n) = 0.08(2850) 0.12n + (2850 * 0.06 + -1n * 0.06) = 0.08(2850) 0.12n + (171 + -0.06n) = 0.08(2850) Reorder the terms: 171 + 0.12n + -0.06n = 0.08(2850) Combine like terms: 0.12n + -0.06n = 0.06n 171 + 0.06n = 0.08(2850) Multiply 0.08 * 2850 171 + 0.06n = 228 Solving 171 + 0.06n = 228 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-171' to each side of the equation. 171 + -171 + 0.06n = 228 + -171 Combine like terms: 171 + -171 = 0 0 + 0.06n = 228 + -171 0.06n = 228 + -171 Combine like terms: 228 + -171 = 57 0.06n = 57 Divide each side by '0.06'. n = 950 Simplifying n = 950
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