Question

Solve for v.

Simplify your answer as much as possible.

Answer 1

$\mathsf{Given : 3(v - 6) - 2 = -6(-5v + 2) - 9v}$

$\mathsf{\implies 3v - 18 - 2 = 30v - 12 - 9v}$

$\mathsf{\implies 3v - 20 = 21v - 12}$

$\mathsf{\implies 21v - 3v = -20 + 12}$

$\mathsf{\implies 18v = -8}$

$\mathsf{\implies v = \frac{-4}{9} }$