3x-5y+z-6w=-14

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Solution for 3x-5y+z-6w=-14 equation:


Simplifying
3x + -5y + z + -6w = -14

Reorder the terms:
-6w + 3x + -5y + z = -14

Solving
-6w + 3x + -5y + z = -14

Solving for variable 'w'.

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

Add '-3x' to each side of the equation.
-6w + 3x + -5y + -3x + z = -14 + -3x

Reorder the terms:
-6w + 3x + -3x + -5y + z = -14 + -3x

Combine like terms: 3x + -3x = 0
-6w + 0 + -5y + z = -14 + -3x
-6w + -5y + z = -14 + -3x

Add '5y' to each side of the equation.
-6w + -5y + 5y + z = -14 + -3x + 5y

Combine like terms: -5y + 5y = 0
-6w + 0 + z = -14 + -3x + 5y
-6w + z = -14 + -3x + 5y

Add '-1z' to each side of the equation.
-6w + z + -1z = -14 + -3x + 5y + -1z

Combine like terms: z + -1z = 0
-6w + 0 = -14 + -3x + 5y + -1z
-6w = -14 + -3x + 5y + -1z

Divide each side by '-6'.
w = 2.333333333 + 0.5x + -0.8333333333y + 0.1666666667z

Simplifying
w = 2.333333333 + 0.5x + -0.8333333333y + 0.1666666667z

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