7x-y+z-w=4

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Solution for 7x-y+z-w=4 equation:


Simplifying
7x + -1y + z + -1w = 4

Reorder the terms:
-1w + 7x + -1y + z = 4

Solving
-1w + 7x + -1y + z = 4

Solving for variable 'w'.

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

Add '-7x' to each side of the equation.
-1w + 7x + -1y + -7x + z = 4 + -7x

Reorder the terms:
-1w + 7x + -7x + -1y + z = 4 + -7x

Combine like terms: 7x + -7x = 0
-1w + 0 + -1y + z = 4 + -7x
-1w + -1y + z = 4 + -7x

Add 'y' to each side of the equation.
-1w + -1y + y + z = 4 + -7x + y

Combine like terms: -1y + y = 0
-1w + 0 + z = 4 + -7x + y
-1w + z = 4 + -7x + y

Add '-1z' to each side of the equation.
-1w + z + -1z = 4 + -7x + y + -1z

Combine like terms: z + -1z = 0
-1w + 0 = 4 + -7x + y + -1z
-1w = 4 + -7x + y + -1z

Divide each side by '-1'.
w = -4 + 7x + -1y + z

Simplifying
w = -4 + 7x + -1y + z

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