X(w+y)=z

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


Simplifying
X(w + y) = z
(w * X + y * X) = z
(wX + yX) = z

Solving
wX + yX = z

Solving for variable 'w'.

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

Add '-1yX' to each side of the equation.
wX + yX + -1yX = -1yX + z

Combine like terms: yX + -1yX = 0
wX + 0 = -1yX + z
wX = -1yX + z

Divide each side by 'X'.
w = -1y + zX-1

Simplifying
w = -1y + zX-1

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