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14b=378-8v
Subtract 8v from both sides.
\frac{14b}{14}=\frac{378-8v}{14}
Divide both sides by 14.
b=\frac{378-8v}{14}
Dividing by 14 undoes the multiplication by 14.
b=-\frac{4v}{7}+27
Divide 378-8v by 14.
8v=378-14b
Subtract 14b from both sides.
\frac{8v}{8}=\frac{378-14b}{8}
Divide both sides by 8.
v=\frac{378-14b}{8}
Dividing by 8 undoes the multiplication by 8.
v=\frac{189-7b}{4}
Divide 378-14b by 8.