2x+4y-2z+3r+4s=0

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Solution for 2x+4y-2z+3r+4s=0 equation:


Simplifying
2x + 4y + -2z + 3r + 4s = 0

Reorder the terms:
3r + 4s + 2x + 4y + -2z = 0

Solving
3r + 4s + 2x + 4y + -2z = 0

Solving for variable 'r'.

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

Add '-4s' to each side of the equation.
3r + 4s + 2x + 4y + -4s + -2z = 0 + -4s

Reorder the terms:
3r + 4s + -4s + 2x + 4y + -2z = 0 + -4s

Combine like terms: 4s + -4s = 0
3r + 0 + 2x + 4y + -2z = 0 + -4s
3r + 2x + 4y + -2z = 0 + -4s
Remove the zero:
3r + 2x + 4y + -2z = -4s

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

Reorder the terms:
3r + 2x + -2x + 4y + -2z = -4s + -2x

Combine like terms: 2x + -2x = 0
3r + 0 + 4y + -2z = -4s + -2x
3r + 4y + -2z = -4s + -2x

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

Combine like terms: 4y + -4y = 0
3r + 0 + -2z = -4s + -2x + -4y
3r + -2z = -4s + -2x + -4y

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

Combine like terms: -2z + 2z = 0
3r + 0 = -4s + -2x + -4y + 2z
3r = -4s + -2x + -4y + 2z

Divide each side by '3'.
r = -1.333333333s + -0.6666666667x + -1.333333333y + 0.6666666667z

Simplifying
r = -1.333333333s + -0.6666666667x + -1.333333333y + 0.6666666667z

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