(2x+3y-5z+8w)+(4x-3y-5z+2w)+(-3y+4z-7w-x)=

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Solution for (2x+3y-5z+8w)+(4x-3y-5z+2w)+(-3y+4z-7w-x)= equation:


Simplifying
(2x + 3y + -5z + 8w) + (4x + -3y + -5z + 2w) + (-3y + 4z + -7w + -1x) = 0

Reorder the terms:
(8w + 2x + 3y + -5z) + (4x + -3y + -5z + 2w) + (-3y + 4z + -7w + -1x) = 0

Remove parenthesis around (8w + 2x + 3y + -5z)
8w + 2x + 3y + -5z + (4x + -3y + -5z + 2w) + (-3y + 4z + -7w + -1x) = 0

Reorder the terms:
8w + 2x + 3y + -5z + (2w + 4x + -3y + -5z) + (-3y + 4z + -7w + -1x) = 0

Remove parenthesis around (2w + 4x + -3y + -5z)
8w + 2x + 3y + -5z + 2w + 4x + -3y + -5z + (-3y + 4z + -7w + -1x) = 0

Reorder the terms:
8w + 2x + 3y + -5z + 2w + 4x + -3y + -5z + (-7w + -1x + -3y + 4z) = 0

Remove parenthesis around (-7w + -1x + -3y + 4z)
8w + 2x + 3y + -5z + 2w + 4x + -3y + -5z + -7w + -1x + -3y + 4z = 0

Reorder the terms:
8w + 2w + -7w + 2x + 4x + -1x + 3y + -3y + -3y + -5z + -5z + 4z = 0

Combine like terms: 8w + 2w = 10w
10w + -7w + 2x + 4x + -1x + 3y + -3y + -3y + -5z + -5z + 4z = 0

Combine like terms: 10w + -7w = 3w
3w + 2x + 4x + -1x + 3y + -3y + -3y + -5z + -5z + 4z = 0

Combine like terms: 2x + 4x = 6x
3w + 6x + -1x + 3y + -3y + -3y + -5z + -5z + 4z = 0

Combine like terms: 6x + -1x = 5x
3w + 5x + 3y + -3y + -3y + -5z + -5z + 4z = 0

Combine like terms: 3y + -3y = 0
3w + 5x + 0 + -3y + -5z + -5z + 4z = 0
3w + 5x + -3y + -5z + -5z + 4z = 0

Combine like terms: -5z + -5z = -10z
3w + 5x + -3y + -10z + 4z = 0

Combine like terms: -10z + 4z = -6z
3w + 5x + -3y + -6z = 0

Solving
3w + 5x + -3y + -6z = 0

Solving for variable 'w'.

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

Add '-5x' to each side of the equation.
3w + 5x + -3y + -5x + -6z = 0 + -5x

Reorder the terms:
3w + 5x + -5x + -3y + -6z = 0 + -5x

Combine like terms: 5x + -5x = 0
3w + 0 + -3y + -6z = 0 + -5x
3w + -3y + -6z = 0 + -5x
Remove the zero:
3w + -3y + -6z = -5x

Add '3y' to each side of the equation.
3w + -3y + 3y + -6z = -5x + 3y

Combine like terms: -3y + 3y = 0
3w + 0 + -6z = -5x + 3y
3w + -6z = -5x + 3y

Add '6z' to each side of the equation.
3w + -6z + 6z = -5x + 3y + 6z

Combine like terms: -6z + 6z = 0
3w + 0 = -5x + 3y + 6z
3w = -5x + 3y + 6z

Divide each side by '3'.
w = -1.666666667x + y + 2z

Simplifying
w = -1.666666667x + y + 2z

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