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Simplifying 2n + -0.75n = 0.5n + 6.5 Combine like terms: 2n + -0.75n = 1.25n 1.25n = 0.5n + 6.5 Reorder the terms: 1.25n = 6.5 + 0.5n Solving 1.25n = 6.5 + 0.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.5n' to each side of the equation. 1.25n + -0.5n = 6.5 + 0.5n + -0.5n Combine like terms: 1.25n + -0.5n = 0.75n 0.75n = 6.5 + 0.5n + -0.5n Combine like terms: 0.5n + -0.5n = 0.0 0.75n = 6.5 + 0.0 0.75n = 6.5 Divide each side by '0.75'. n = 8.666666667 Simplifying n = 8.666666667
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