Regroup terms.
\[4Tz+4=z+7\]
Factor out the common term \(4\).
\[4(Tz+1)=z+7\]
Divide both sides by \(4\).
\[Tz+1=\frac{z+7}{4}\]
Subtract \(1\) from both sides.
\[Tz=\frac{z+7}{4}-1\]
Divide both sides by \(z\).
\[T=\frac{\frac{z+7}{4}-1}{z}\]
T=((z+7)/4-1)/z
