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Simplifying 6xy + 3yz + -8xz + -6xy = 0 Reorder the terms: 6xy + -6xy + -8xz + 3yz = 0 Combine like terms: 6xy + -6xy = 0 0 + -8xz + 3yz = 0 -8xz + 3yz = 0 Solving -8xz + 3yz = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3yz' to each side of the equation. -8xz + 3yz + -3yz = 0 + -3yz Combine like terms: 3yz + -3yz = 0 -8xz + 0 = 0 + -3yz -8xz = 0 + -3yz Remove the zero: -8xz = -3yz Divide each side by '-8z'. x = 0.375y Simplifying x = 0.375y
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