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Simplifying ax + by + -1c = dx + fy Solving ax + by + -1c = dx + fy 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 + -1c = dx + -1by + fy Combine like terms: by + -1by = 0 ax + 0 + -1c = dx + -1by + fy ax + -1c = dx + -1by + fy Reorder the terms: ax + -1c = -1by + dx + fy Add 'c' to each side of the equation. ax + -1c + c = -1by + dx + c + fy Combine like terms: -1c + c = 0 ax + 0 = -1by + dx + c + fy ax = -1by + dx + c + fy Reorder the terms: ax = -1by + c + dx + fy Divide each side by 'x'. a = -1bx-1y + cx-1 + d + fx-1y Simplifying a = -1bx-1y + cx-1 + d + fx-1y
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