(x+y+z)+(2w+3y+5)=

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Solution for (x+y+z)+(2w+3y+5)= equation:


Simplifying
(x + y + z) + (2w + 3y + 5) = 0

Remove parenthesis around (x + y + z)
x + y + z + (2w + 3y + 5) = 0

Reorder the terms:
x + y + z + (5 + 2w + 3y) = 0

Remove parenthesis around (5 + 2w + 3y)
x + y + z + 5 + 2w + 3y = 0

Reorder the terms:
5 + 2w + x + y + 3y + z = 0

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

Solving
5 + 2w + x + 4y + z = 0

Solving for variable 'w'.

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

Add '-5' to each side of the equation.
5 + 2w + x + 4y + -5 + z = 0 + -5

Reorder the terms:
5 + -5 + 2w + x + 4y + z = 0 + -5

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

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

Add '-1x' to each side of the equation.
2w + x + 4y + -1x + z = -5 + -1x

Reorder the terms:
2w + x + -1x + 4y + z = -5 + -1x

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

Add '-4y' to each side of the equation.
2w + 4y + -4y + z = -5 + -1x + -4y

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

Add '-1z' to each side of the equation.
2w + z + -1z = -5 + -1x + -4y + -1z

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

Divide each side by '2'.
w = -2.5 + -0.5x + -2y + -0.5z

Simplifying
w = -2.5 + -0.5x + -2y + -0.5z

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