Question

$$\frac{6}{5}-7z=-4(1-3z),$$

Answer

z=26/95

Solution


Expand.
\[\frac{6}{5}-7z=-4+12z\]
Regroup terms.
\[\frac{6}{5}-7z=12z-4\]
Add \(7z\) to both sides.
\[\frac{6}{5}=12z-4+7z\]
Simplify  \(12z-4+7z\)  to  \(19z-4\).
\[\frac{6}{5}=19z-4\]
Add \(4\) to both sides.
\[\frac{6}{5}+4=19z\]
Simplify  \(\frac{6}{5}+4\)  to  \(\frac{26}{5}\).
\[\frac{26}{5}=19z\]
Divide both sides by \(19\).
\[\frac{\frac{26}{5}}{19}=z\]
Simplify  \(\frac{\frac{26}{5}}{19}\)  to  \(\frac{26}{5\times 19}\).
\[\frac{26}{5\times 19}=z\]
Simplify  \(5\times 19\)  to  \(95\).
\[\frac{26}{95}=z\]
Switch sides.
\[z=\frac{26}{95}\]

Decimal Form: 0.273684