Solve for a
a=\frac{2z+7}{3}
Solve for z
z=\frac{3a-7}{2}
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-3a=-2z-7
Subtract 7 from both sides.
\frac{-3a}{-3}=\frac{-2z-7}{-3}
Divide both sides by -3.
a=\frac{-2z-7}{-3}
Dividing by -3 undoes the multiplication by -3.
a=\frac{2z+7}{3}
Divide -2z-7 by -3.
-2z=7-3a
Swap sides so that all variable terms are on the left hand side.
\frac{-2z}{-2}=\frac{7-3a}{-2}
Divide both sides by -2.
z=\frac{7-3a}{-2}
Dividing by -2 undoes the multiplication by -2.
z=\frac{3a-7}{2}
Divide 7-3a by -2.
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