4x+y+4z-w=15

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Solution for 4x+y+4z-w=15 equation:


Simplifying
4x + y + 4z + -1w = 15

Reorder the terms:
-1w + 4x + y + 4z = 15

Solving
-1w + 4x + y + 4z = 15

Solving for variable 'w'.

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

Add '-4x' to each side of the equation.
-1w + 4x + y + -4x + 4z = 15 + -4x

Reorder the terms:
-1w + 4x + -4x + y + 4z = 15 + -4x

Combine like terms: 4x + -4x = 0
-1w + 0 + y + 4z = 15 + -4x
-1w + y + 4z = 15 + -4x

Add '-1y' to each side of the equation.
-1w + y + -1y + 4z = 15 + -4x + -1y

Combine like terms: y + -1y = 0
-1w + 0 + 4z = 15 + -4x + -1y
-1w + 4z = 15 + -4x + -1y

Add '-4z' to each side of the equation.
-1w + 4z + -4z = 15 + -4x + -1y + -4z

Combine like terms: 4z + -4z = 0
-1w + 0 = 15 + -4x + -1y + -4z
-1w = 15 + -4x + -1y + -4z

Divide each side by '-1'.
w = -15 + 4x + y + 4z

Simplifying
w = -15 + 4x + y + 4z

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