Rearrange terms

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v=(u(w,e)+(1+t(e))v+t(e)z)/(1+i)

v(1+i)=u(w,e)+(1-t(e))v+t(e)z

v(1+i-1+t(e))=u(w,e)+t(e)z

v=(u(w,e)+t(e)z)/(i+t(e))

v=(u(w,e)-(i*z))/(i+t(e))

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