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Simplifying 6.30 = 0.5n + 0.25(54 + -1n) 6.30 = 0.5n + (54 * 0.25 + -1n * 0.25) 6.30 = 0.5n + (13.5 + -0.25n) Reorder the terms: 6.30 = 13.5 + 0.5n + -0.25n Combine like terms: 0.5n + -0.25n = 0.25n 6.30 = 13.5 + 0.25n Solving 6.30 = 13.5 + 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. 6.30 + -0.25n = 13.5 + 0.25n + -0.25n Combine like terms: 0.25n + -0.25n = 0.00 6.30 + -0.25n = 13.5 + 0.00 6.30 + -0.25n = 13.5 Add '-6.30' to each side of the equation. 6.30 + -6.30 + -0.25n = 13.5 + -6.30 Combine like terms: 6.30 + -6.30 = 0.00 0.00 + -0.25n = 13.5 + -6.30 -0.25n = 13.5 + -6.30 Combine like terms: 13.5 + -6.30 = 7.2 -0.25n = 7.2 Divide each side by '-0.25'. n = -28.8 Simplifying n = -28.8
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