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Simplifying 2ax + -2ay + 1bx + -1by + -1cx + 1cy = 0 Solving 2ax + -2ay + 1bx + -1by + -1cx + 1cy = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1bx' to each side of the equation. 2ax + -2ay + 1bx + -1by + -1cx + -1bx + 1cy = 0 + -1bx Reorder the terms: 2ax + -2ay + 1bx + -1bx + -1by + -1cx + 1cy = 0 + -1bx Combine like terms: 1bx + -1bx = 0 2ax + -2ay + 0 + -1by + -1cx + 1cy = 0 + -1bx 2ax + -2ay + -1by + -1cx + 1cy = 0 + -1bx Remove the zero: 2ax + -2ay + -1by + -1cx + 1cy = -1bx Add 'by' to each side of the equation. 2ax + -2ay + -1by + -1cx + by + 1cy = -1bx + by Reorder the terms: 2ax + -2ay + -1by + by + -1cx + 1cy = -1bx + by Combine like terms: -1by + by = 0 2ax + -2ay + 0 + -1cx + 1cy = -1bx + by 2ax + -2ay + -1cx + 1cy = -1bx + by Add 'cx' to each side of the equation. 2ax + -2ay + -1cx + cx + 1cy = -1bx + by + cx Combine like terms: -1cx + cx = 0 2ax + -2ay + 0 + 1cy = -1bx + by + cx 2ax + -2ay + 1cy = -1bx + by + cx Add '-1cy' to each side of the equation. 2ax + -2ay + 1cy + -1cy = -1bx + by + cx + -1cy Combine like terms: 1cy + -1cy = 0 2ax + -2ay + 0 = -1bx + by + cx + -1cy 2ax + -2ay = -1bx + by + cx + -1cy Reorder the terms: 2ax + -2ay + bx + -1by + -1cx + cy = -1bx + bx + by + -1by + cx + -1cx + -1cy + cy Combine like terms: -1bx + bx = 0 2ax + -2ay + bx + -1by + -1cx + cy = 0 + by + -1by + cx + -1cx + -1cy + cy 2ax + -2ay + bx + -1by + -1cx + cy = by + -1by + cx + -1cx + -1cy + cy Combine like terms: by + -1by = 0 2ax + -2ay + bx + -1by + -1cx + cy = 0 + cx + -1cx + -1cy + cy 2ax + -2ay + bx + -1by + -1cx + cy = cx + -1cx + -1cy + cy Combine like terms: cx + -1cx = 0 2ax + -2ay + bx + -1by + -1cx + cy = 0 + -1cy + cy 2ax + -2ay + bx + -1by + -1cx + cy = -1cy + cy Combine like terms: -1cy + cy = 0 2ax + -2ay + bx + -1by + -1cx + cy = 0 The solution to this equation could not be determined.
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