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Simplifying 0.75n + -2 = 0.25n + 8 Reorder the terms: -2 + 0.75n = 0.25n + 8 Reorder the terms: -2 + 0.75n = 8 + 0.25n Solving -2 + 0.75n = 8 + 0.25n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.25n' to each side of the equation. -2 + 0.75n + -0.25n = 8 + 0.25n + -0.25n Combine like terms: 0.75n + -0.25n = 0.5n -2 + 0.5n = 8 + 0.25n + -0.25n Combine like terms: 0.25n + -0.25n = 0.00 -2 + 0.5n = 8 + 0.00 -2 + 0.5n = 8 Add '2' to each side of the equation. -2 + 2 + 0.5n = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 0.5n = 8 + 2 0.5n = 8 + 2 Combine like terms: 8 + 2 = 10 0.5n = 10 Divide each side by '0.5'. n = 20 Simplifying n = 20
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