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Simplifying 6xy + 4yz + -3xy + yz = 0 Reorder the terms: 6xy + -3xy + 4yz + yz = 0 Combine like terms: 6xy + -3xy = 3xy 3xy + 4yz + yz = 0 Combine like terms: 4yz + yz = 5yz 3xy + 5yz = 0 Solving 3xy + 5yz = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5yz' to each side of the equation. 3xy + 5yz + -5yz = 0 + -5yz Combine like terms: 5yz + -5yz = 0 3xy + 0 = 0 + -5yz 3xy = 0 + -5yz Remove the zero: 3xy = -5yz Divide each side by '3y'. x = -1.666666667z Simplifying x = -1.666666667z
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