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Simplifying -2y(-2x + 3y + -4z) = 0 (-2x * -2y + 3y * -2y + -4z * -2y) = 0 Reorder the terms: (4xy + 8yz + -6y2) = 0 (4xy + 8yz + -6y2) = 0 Solving 4xy + 8yz + -6y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8yz' to each side of the equation. 4xy + 8yz + -8yz + -6y2 = 0 + -8yz Combine like terms: 8yz + -8yz = 0 4xy + 0 + -6y2 = 0 + -8yz 4xy + -6y2 = 0 + -8yz Remove the zero: 4xy + -6y2 = -8yz Add '6y2' to each side of the equation. 4xy + -6y2 + 6y2 = -8yz + 6y2 Combine like terms: -6y2 + 6y2 = 0 4xy + 0 = -8yz + 6y2 4xy = -8yz + 6y2 Divide each side by '4y'. x = -2z + 1.5y Simplifying x = -2z + 1.5y Reorder the terms: x = 1.5y + -2z
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