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Simplifying 0.5n + -0.75n + 0.25 = 5n + 0.25n Reorder the terms: 0.25 + 0.5n + -0.75n = 5n + 0.25n Combine like terms: 0.5n + -0.75n = -0.25n 0.25 + -0.25n = 5n + 0.25n Combine like terms: 5n + 0.25n = 5.25n 0.25 + -0.25n = 5.25n Solving 0.25 + -0.25n = 5.25n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5.25n' to each side of the equation. 0.25 + -0.25n + -5.25n = 5.25n + -5.25n Combine like terms: -0.25n + -5.25n = -5.5n 0.25 + -5.5n = 5.25n + -5.25n Combine like terms: 5.25n + -5.25n = 0.00 0.25 + -5.5n = 0.00 Add '-0.25' to each side of the equation. 0.25 + -0.25 + -5.5n = 0.00 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + -5.5n = 0.00 + -0.25 -5.5n = 0.00 + -0.25 Combine like terms: 0.00 + -0.25 = -0.25 -5.5n = -0.25 Divide each side by '-5.5'. n = 0.04545454545 Simplifying n = 0.04545454545
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