2x+2y-2z+3w=10

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Solution for 2x+2y-2z+3w=10 equation: 


Simplifying
2x + 2y + -2z + 3w = 10

Reorder the terms:
3w + 2x + 2y + -2z = 10

Solving
3w + 2x + 2y + -2z = 10

Solving for variable 'w'.

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

Add '-2x' to each side of the equation.
3w + 2x + 2y + -2x + -2z = 10 + -2x

Reorder the terms:
3w + 2x + -2x + 2y + -2z = 10 + -2x

Combine like terms: 2x + -2x = 0
3w + 0 + 2y + -2z = 10 + -2x
3w + 2y + -2z = 10 + -2x

Add '-2y' to each side of the equation.
3w + 2y + -2y + -2z = 10 + -2x + -2y

Combine like terms: 2y + -2y = 0
3w + 0 + -2z = 10 + -2x + -2y
3w + -2z = 10 + -2x + -2y

Add '2z' to each side of the equation.
3w + -2z + 2z = 10 + -2x + -2y + 2z

Combine like terms: -2z + 2z = 0
3w + 0 = 10 + -2x + -2y + 2z
3w = 10 + -2x + -2y + 2z

Divide each side by '3'.
w = 3.333333333 + -0.6666666667x + -0.6666666667y + 0.6666666667z

Simplifying
w = 3.333333333 + -0.6666666667x + -0.6666666667y + 0.6666666667z

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