4xy-3xz+yz+4xy+5yz+3xz+6yz-2xy=

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Solution for 4xy-3xz+yz+4xy+5yz+3xz+6yz-2xy= equation:


Simplifying
4xy + -3xz + yz + 4xy + 5yz + 3xz + 6yz + -2xy = 0

Reorder the terms:
4xy + 4xy + -2xy + -3xz + 3xz + yz + 5yz + 6yz = 0

Combine like terms: 4xy + 4xy = 8xy
8xy + -2xy + -3xz + 3xz + yz + 5yz + 6yz = 0

Combine like terms: 8xy + -2xy = 6xy
6xy + -3xz + 3xz + yz + 5yz + 6yz = 0

Combine like terms: -3xz + 3xz = 0
6xy + 0 + yz + 5yz + 6yz = 0
6xy + yz + 5yz + 6yz = 0

Combine like terms: yz + 5yz = 6yz
6xy + 6yz + 6yz = 0

Combine like terms: 6yz + 6yz = 12yz
6xy + 12yz = 0

Solving
6xy + 12yz = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-12yz' to each side of the equation.
6xy + 12yz + -12yz = 0 + -12yz

Combine like terms: 12yz + -12yz = 0
6xy + 0 = 0 + -12yz
6xy = 0 + -12yz
Remove the zero:
6xy = -12yz

Divide each side by '6y'.
x = -2z

Simplifying
x = -2z

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