Question

solve for v.
\\( -dfrac{9}{7} = dfrac{9}{5}v - dfrac{9}{2} \\)
simplify your answer as much as possible.

Explanation:

Step1: Add $\frac{9}{2}$ to both sides

$-\frac{9}{7}+\frac{9}{2}=\frac{9}{5}v-\frac{9}{2}+\frac{9}{2}$
Calculate left side: $\frac{-18 + 63}{14}=\frac{45}{14}$, right side: $\frac{9}{5}v$

Step2: Multiply both sides by $\frac{5}{9}$

$\frac{45}{14}\times\frac{5}{9}=\frac{9}{5}v\times\frac{5}{9}$
Simplify: $\frac{25}{14}=v$

Answer:

$v = \frac{25}{14}$