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Simplifying 0.25(n + 10) + 0.50n = 6.25 Reorder the terms: 0.25(10 + n) + 0.50n = 6.25 (10 * 0.25 + n * 0.25) + 0.50n = 6.25 (2.5 + 0.25n) + 0.50n = 6.25 Combine like terms: 0.25n + 0.50n = 0.75n 2.5 + 0.75n = 6.25 Solving 2.5 + 0.75n = 6.25 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + 0.75n = 6.25 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 0.75n = 6.25 + -2.5 0.75n = 6.25 + -2.5 Combine like terms: 6.25 + -2.5 = 3.75 0.75n = 3.75 Divide each side by '0.75'. n = 5 Simplifying n = 5
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