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