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Simplifying dxy = (6x + -5)(3x + 1) Reorder the terms: dxy = (-5 + 6x)(3x + 1) Reorder the terms: dxy = (-5 + 6x)(1 + 3x) Multiply (-5 + 6x) * (1 + 3x) dxy = (-5(1 + 3x) + 6x * (1 + 3x)) dxy = ((1 * -5 + 3x * -5) + 6x * (1 + 3x)) dxy = ((-5 + -15x) + 6x * (1 + 3x)) dxy = (-5 + -15x + (1 * 6x + 3x * 6x)) dxy = (-5 + -15x + (6x + 18x2)) Combine like terms: -15x + 6x = -9x dxy = (-5 + -9x + 18x2) Solving dxy = -5 + -9x + 18x2 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Divide each side by 'xy'. d = -5x-1y-1 + -9y-1 + 18xy-1 Simplifying d = -5x-1y-1 + -9y-1 + 18xy-1 Reorder the terms: d = -5x-1y-1 + 18xy-1 + -9y-1
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