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Simplifying 0.75n + 2 = 0.25n + 1 Reorder the terms: 2 + 0.75n = 0.25n + 1 Reorder the terms: 2 + 0.75n = 1 + 0.25n Solving 2 + 0.75n = 1 + 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 = 1 + 0.25n + -0.25n Combine like terms: 0.75n + -0.25n = 0.5n 2 + 0.5n = 1 + 0.25n + -0.25n Combine like terms: 0.25n + -0.25n = 0.00 2 + 0.5n = 1 + 0.00 2 + 0.5n = 1 Add '-2' to each side of the equation. 2 + -2 + 0.5n = 1 + -2 Combine like terms: 2 + -2 = 0 0 + 0.5n = 1 + -2 0.5n = 1 + -2 Combine like terms: 1 + -2 = -1 0.5n = -1 Divide each side by '0.5'. n = -2 Simplifying n = -2
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