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Simplifying 2xy + 4yz + -8xz + -2xy = 0 Reorder the terms: 2xy + -2xy + -8xz + 4yz = 0 Combine like terms: 2xy + -2xy = 0 0 + -8xz + 4yz = 0 -8xz + 4yz = 0 Solving -8xz + 4yz = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4yz' to each side of the equation. -8xz + 4yz + -4yz = 0 + -4yz Combine like terms: 4yz + -4yz = 0 -8xz + 0 = 0 + -4yz -8xz = 0 + -4yz Remove the zero: -8xz = -4yz Divide each side by '-8z'. x = 0.5y Simplifying x = 0.5y
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