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v=7b-7a
Use the distributive property to multiply 7 by b-a.
7b-7a=v
Swap sides so that all variable terms are on the left hand side.
-7a=v-7b
Subtract 7b from both sides.
\frac{-7a}{-7}=\frac{v-7b}{-7}
Divide both sides by -7.
a=\frac{v-7b}{-7}
Dividing by -7 undoes the multiplication by -7.
a=-\frac{v}{7}+b
Divide v-7b by -7.
v=7b-7a
Use the distributive property to multiply 7 by b-a.
7b-7a=v
Swap sides so that all variable terms are on the left hand side.
7b=v+7a
Add 7a to both sides.
\frac{7b}{7}=\frac{v+7a}{7}
Divide both sides by 7.
b=\frac{v+7a}{7}
Dividing by 7 undoes the multiplication by 7.
b=\frac{v}{7}+a
Divide v+7a by 7.