Question

solve for v.
$-\frac{7}{3} + \frac{1}{5}v = -\frac{9}{4}$
simplify your answer as much as possible.

Explanation:

Step1: Add $\frac{7}{3}$ to both sides

$\frac{1}{5}v = -\frac{9}{4} + \frac{7}{3}$

Step2: Calculate right-hand side

$-\frac{9}{4} + \frac{7}{3} = \frac{-27 + 28}{12} = \frac{1}{12}$

Step3: Multiply both sides by 5

$v = \frac{1}{12} \times 5 = \frac{5}{12}$

Answer:

$\frac{5}{12}$