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Simplifying 12ax + 3xz + 4ay + yz = 0 Reorder the terms: 12ax + 4ay + 3xz + yz = 0 Solving 12ax + 4ay + 3xz + yz = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3xz' to each side of the equation. 12ax + 4ay + 3xz + -3xz + yz = 0 + -3xz Combine like terms: 3xz + -3xz = 0 12ax + 4ay + 0 + yz = 0 + -3xz 12ax + 4ay + yz = 0 + -3xz Remove the zero: 12ax + 4ay + yz = -3xz Add '-1yz' to each side of the equation. 12ax + 4ay + yz + -1yz = -3xz + -1yz Combine like terms: yz + -1yz = 0 12ax + 4ay + 0 = -3xz + -1yz 12ax + 4ay = -3xz + -1yz Reorder the terms: 12ax + 4ay + 3xz + yz = -3xz + 3xz + -1yz + yz Combine like terms: -3xz + 3xz = 0 12ax + 4ay + 3xz + yz = 0 + -1yz + yz 12ax + 4ay + 3xz + yz = -1yz + yz Combine like terms: -1yz + yz = 0 12ax + 4ay + 3xz + yz = 0 The solution to this equation could not be determined.
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