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3x=1-2z
Subtract 2z from both sides.
\frac{3x}{3}=\frac{1-2z}{3}
Divide both sides by 3.
x=\frac{1-2z}{3}
Dividing by 3 undoes the multiplication by 3.
2z=1-3x
Subtract 3x from both sides.
\frac{2z}{2}=\frac{1-3x}{2}
Divide both sides by 2.
z=\frac{1-3x}{2}
Dividing by 2 undoes the multiplication by 2.