2x+4y+z+3w=-1

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Solution for 2x+4y+z+3w=-1 equation:


Simplifying
2x + 4y + z + 3w = -1

Reorder the terms:
3w + 2x + 4y + z = -1

Solving
3w + 2x + 4y + z = -1

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 + 4y + -2x + z = -1 + -2x

Reorder the terms:
3w + 2x + -2x + 4y + z = -1 + -2x

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

Add '-4y' to each side of the equation.
3w + 4y + -4y + z = -1 + -2x + -4y

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

Add '-1z' to each side of the equation.
3w + z + -1z = -1 + -2x + -4y + -1z

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

Divide each side by '3'.
w = -0.3333333333 + -0.6666666667x + -1.333333333y + -0.3333333333z

Simplifying
w = -0.3333333333 + -0.6666666667x + -1.333333333y + -0.3333333333z

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