x(y+w)=z

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Solution for x(y+w)=z equation: 


Simplifying
x(y + w) = z

Reorder the terms:
x(w + y) = z
(w * x + y * x) = z
(wx + xy) = z

Solving
wx + xy = z

Solving for variable 'w'.

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

Add '-1xy' to each side of the equation.
wx + xy + -1xy = -1xy + z

Combine like terms: xy + -1xy = 0
wx + 0 = -1xy + z
wx = -1xy + z

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

Simplifying
w = -1y + x-1z

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

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