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Simplifying 3ax + -6ay + -4bx + -8by + cx + -2cy = 0 Solving 3ax + -6ay + -4bx + -8by + cx + -2cy = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4bx' to each side of the equation. 3ax + -6ay + -4bx + -8by + cx + 4bx + -2cy = 0 + 4bx Reorder the terms: 3ax + -6ay + -4bx + 4bx + -8by + cx + -2cy = 0 + 4bx Combine like terms: -4bx + 4bx = 0 3ax + -6ay + 0 + -8by + cx + -2cy = 0 + 4bx 3ax + -6ay + -8by + cx + -2cy = 0 + 4bx Remove the zero: 3ax + -6ay + -8by + cx + -2cy = 4bx Add '8by' to each side of the equation. 3ax + -6ay + -8by + cx + 8by + -2cy = 4bx + 8by Reorder the terms: 3ax + -6ay + -8by + 8by + cx + -2cy = 4bx + 8by Combine like terms: -8by + 8by = 0 3ax + -6ay + 0 + cx + -2cy = 4bx + 8by 3ax + -6ay + cx + -2cy = 4bx + 8by Add '-1cx' to each side of the equation. 3ax + -6ay + cx + -1cx + -2cy = 4bx + 8by + -1cx Combine like terms: cx + -1cx = 0 3ax + -6ay + 0 + -2cy = 4bx + 8by + -1cx 3ax + -6ay + -2cy = 4bx + 8by + -1cx Add '2cy' to each side of the equation. 3ax + -6ay + -2cy + 2cy = 4bx + 8by + -1cx + 2cy Combine like terms: -2cy + 2cy = 0 3ax + -6ay + 0 = 4bx + 8by + -1cx + 2cy 3ax + -6ay = 4bx + 8by + -1cx + 2cy Reorder the terms: 3ax + -6ay + -4bx + -8by + cx + -2cy = 4bx + -4bx + 8by + -8by + -1cx + cx + 2cy + -2cy Combine like terms: 4bx + -4bx = 0 3ax + -6ay + -4bx + -8by + cx + -2cy = 0 + 8by + -8by + -1cx + cx + 2cy + -2cy 3ax + -6ay + -4bx + -8by + cx + -2cy = 8by + -8by + -1cx + cx + 2cy + -2cy Combine like terms: 8by + -8by = 0 3ax + -6ay + -4bx + -8by + cx + -2cy = 0 + -1cx + cx + 2cy + -2cy 3ax + -6ay + -4bx + -8by + cx + -2cy = -1cx + cx + 2cy + -2cy Combine like terms: -1cx + cx = 0 3ax + -6ay + -4bx + -8by + cx + -2cy = 0 + 2cy + -2cy 3ax + -6ay + -4bx + -8by + cx + -2cy = 2cy + -2cy Combine like terms: 2cy + -2cy = 0 3ax + -6ay + -4bx + -8by + cx + -2cy = 0 The solution to this equation could not be determined.
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