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Simplifying 2xz + -3yz + 8z + -12y = 0 Reorder the terms: 2xz + -12y + -3yz + 8z = 0 Solving 2xz + -12y + -3yz + 8z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12y' to each side of the equation. 2xz + -12y + -3yz + 12y + 8z = 0 + 12y Reorder the terms: 2xz + -12y + 12y + -3yz + 8z = 0 + 12y Combine like terms: -12y + 12y = 0 2xz + 0 + -3yz + 8z = 0 + 12y 2xz + -3yz + 8z = 0 + 12y Remove the zero: 2xz + -3yz + 8z = 12y Add '3yz' to each side of the equation. 2xz + -3yz + 3yz + 8z = 12y + 3yz Combine like terms: -3yz + 3yz = 0 2xz + 0 + 8z = 12y + 3yz 2xz + 8z = 12y + 3yz Add '-8z' to each side of the equation. 2xz + 8z + -8z = 12y + 3yz + -8z Combine like terms: 8z + -8z = 0 2xz + 0 = 12y + 3yz + -8z 2xz = 12y + 3yz + -8z Divide each side by '2z'. x = 6yz-1 + 1.5y + -4 Simplifying x = 6yz-1 + 1.5y + -4 Reorder the terms: x = -4 + 1.5y + 6yz-1
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