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Simplifying 113.50 = 7.75x + 4.50y(18 + -1n) 113.50 = 7.75x + (18 * 4.50y + -1n * 4.50y) Reorder the terms: 113.50 = 7.75x + (-4.5ny + 81y) 113.50 = 7.75x + (-4.5ny + 81y) Reorder the terms: 113.50 = -4.5ny + 7.75x + 81y Solving 113.50 = -4.5ny + 7.75x + 81y Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4.5ny' to each side of the equation. 113.50 + 4.5ny = -4.5ny + 7.75x + 4.5ny + 81y Reorder the terms: 113.50 + 4.5ny = -4.5ny + 4.5ny + 7.75x + 81y Combine like terms: -4.5ny + 4.5ny = 0.0 113.50 + 4.5ny = 0.0 + 7.75x + 81y 113.50 + 4.5ny = 7.75x + 81y Add '-113.50' to each side of the equation. 113.50 + -113.50 + 4.5ny = 7.75x + -113.50 + 81y Combine like terms: 113.50 + -113.50 = 0.00 0.00 + 4.5ny = 7.75x + -113.50 + 81y 4.5ny = 7.75x + -113.50 + 81y Reorder the terms: 4.5ny = -113.50 + 7.75x + 81y Divide each side by '4.5y'. n = -25.22222222y-1 + 1.722222222xy-1 + 18 Simplifying n = -25.22222222y-1 + 1.722222222xy-1 + 18 Reorder the terms: n = 18 + 1.722222222xy-1 + -25.22222222y-1
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