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-v=1-4x
Subtract 4x from both sides.
\frac{-v}{-1}=\frac{1-4x}{-1}
Divide both sides by -1.
v=\frac{1-4x}{-1}
Dividing by -1 undoes the multiplication by -1.
v=4x-1
Divide 1-4x by -1.
4x=1+v
Add v to both sides.
4x=v+1
The equation is in standard form.
\frac{4x}{4}=\frac{v+1}{4}
Divide both sides by 4.
x=\frac{v+1}{4}
Dividing by 4 undoes the multiplication by 4.