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Simplifying ax + by + cxy = D Solving ax + by + cxy = D 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 + -1by + cxy = D + -1by Combine like terms: by + -1by = 0 ax + 0 + cxy = D + -1by ax + cxy = D + -1by Add '-1cxy' to each side of the equation. ax + cxy + -1cxy = D + -1by + -1cxy Combine like terms: cxy + -1cxy = 0 ax + 0 = D + -1by + -1cxy ax = D + -1by + -1cxy Divide each side by 'x'. a = x-1D + -1bx-1y + -1cy Simplifying a = x-1D + -1bx-1y + -1cy Reorder the terms: a = -1bx-1y + -1cy + x-1D
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