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Simplifying 0.75n + 1 = 1.25n + 2 Reorder the terms: 1 + 0.75n = 1.25n + 2 Reorder the terms: 1 + 0.75n = 2 + 1.25n Solving 1 + 0.75n = 2 + 1.25n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1.25n' to each side of the equation. 1 + 0.75n + -1.25n = 2 + 1.25n + -1.25n Combine like terms: 0.75n + -1.25n = -0.5n 1 + -0.5n = 2 + 1.25n + -1.25n Combine like terms: 1.25n + -1.25n = 0.00 1 + -0.5n = 2 + 0.00 1 + -0.5n = 2 Add '-1' to each side of the equation. 1 + -1 + -0.5n = 2 + -1 Combine like terms: 1 + -1 = 0 0 + -0.5n = 2 + -1 -0.5n = 2 + -1 Combine like terms: 2 + -1 = 1 -0.5n = 1 Divide each side by '-0.5'. n = -2 Simplifying n = -2
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