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Simplifying 81 + -4.50x + 7.75n = 113.50 Reorder the terms: 81 + 7.75n + -4.50x = 113.50 Solving 81 + 7.75n + -4.50x = 113.50 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + 7.75n + -81 + -4.50x = 113.50 + -81 Reorder the terms: 81 + -81 + 7.75n + -4.50x = 113.50 + -81 Combine like terms: 81 + -81 = 0 0 + 7.75n + -4.50x = 113.50 + -81 7.75n + -4.50x = 113.50 + -81 Combine like terms: 113.50 + -81 = 32.5 7.75n + -4.50x = 32.5 Add '4.50x' to each side of the equation. 7.75n + -4.50x + 4.50x = 32.5 + 4.50x Combine like terms: -4.50x + 4.50x = 0.00 7.75n + 0.00 = 32.5 + 4.50x 7.75n = 32.5 + 4.50x Divide each side by '7.75'. n = 4.193548387 + 0.5806451613x Simplifying n = 4.193548387 + 0.5806451613x
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