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Simplifying 0.5n + (-0.25) + 0.075n = 0.5 + (-0.025n) 0.5n + -0.25 + 0.075n = 0.5 + (-0.025n) Reorder the terms: -0.25 + 0.5n + 0.075n = 0.5 + (-0.025n) Combine like terms: 0.5n + 0.075n = 0.575n -0.25 + 0.575n = 0.5 + (-0.025n) Solving -0.25 + 0.575n = 0.5 + (-0.025n) Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '(0.025n)' to each side of the equation. -0.25 + 0.575n + (0.025n) = 0.5 + (-0.025n) + (0.025n) Combine like terms: 0.575n + (0.025n) = 0.6n -0.25 + 0.6n = 0.5 + (-0.025n) + (0.025n) Combine like terms: (-0.025n) + (0.025n) = 0.000 -0.25 + 0.6n = 0.5 + 0.000 -0.25 + 0.6n = 0.5 Add '0.25' to each side of the equation. -0.25 + 0.25 + 0.6n = 0.5 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + 0.6n = 0.5 + 0.25 0.6n = 0.5 + 0.25 Combine like terms: 0.5 + 0.25 = 0.75 0.6n = 0.75 Divide each side by '0.6'. n = 1.25 Simplifying n = 1.25
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