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Simplifying ax + by + 2xy + d = 0 Reorder the terms: ax + by + d + 2xy = 0 Solving ax + by + d + 2xy = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1by' to each side of the equation. ax + by + d + -1by + 2xy = 0 + -1by Reorder the terms: ax + by + -1by + d + 2xy = 0 + -1by Combine like terms: by + -1by = 0 ax + 0 + d + 2xy = 0 + -1by ax + d + 2xy = 0 + -1by Remove the zero: ax + d + 2xy = -1by Add '-1d' to each side of the equation. ax + d + -1d + 2xy = -1by + -1d Combine like terms: d + -1d = 0 ax + 0 + 2xy = -1by + -1d ax + 2xy = -1by + -1d Add '-2xy' to each side of the equation. ax + 2xy + -2xy = -1by + -1d + -2xy Combine like terms: 2xy + -2xy = 0 ax + 0 = -1by + -1d + -2xy ax = -1by + -1d + -2xy Divide each side by 'x'. a = -1bx-1y + -1dx-1 + -2y Simplifying a = -1bx-1y + -1dx-1 + -2y
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