Solve for z
z=\frac{1}{2}-z_{7}
Solve for z_7
z_{7}=\frac{1}{2}-z
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2z=1-2z_{7}
Subtract 2z_{7} from both sides.
\frac{2z}{2}=\frac{1-2z_{7}}{2}
Divide both sides by 2.
z=\frac{1-2z_{7}}{2}
Dividing by 2 undoes the multiplication by 2.
z=\frac{1}{2}-z_{7}
Divide 1-2z_{7} by 2.
2z_{7}=1-2z
Subtract 2z from both sides.
\frac{2z_{7}}{2}=\frac{1-2z}{2}
Divide both sides by 2.
z_{7}=\frac{1-2z}{2}
Dividing by 2 undoes the multiplication by 2.
z_{7}=\frac{1}{2}-z
Divide 1-2z by 2.
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