Z+y=z(r+s)-w

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Solution for Z+y=z(r+s)-w equation: 


Simplifying
Z + y = z(r + s) + -1w
Z + y = (r * z + s * z) + -1w
Z + y = (rz + sz) + -1w

Solving
Z + y = rz + sz + -1w

Solving for variable 'Z'.

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

Add '-1y' to each side of the equation.
Z + y + -1y = rz + sz + -1w + -1y

Combine like terms: y + -1y = 0
Z + 0 = rz + sz + -1w + -1y
Z = rz + sz + -1w + -1y

Simplifying
Z = rz + sz + -1w + -1y

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