Question

solve for v:
$-\frac{5}{4} - \frac{7}{2}v = -\frac{3}{8}$
simplify your answer as much as possible.
$v = \boxed{}$

Explanation:

Step1: Add $\frac{5}{4}$ to both sides

$-\frac{7}{2}v = -\frac{3}{8} + \frac{5}{4}$

Step2: Simplify right side

$-\frac{7}{2}v = -\frac{3}{8} + \frac{10}{8} = \frac{7}{8}$

Step3: Multiply both sides by $-\frac{2}{7}$

$v = \frac{7}{8} \times -\frac{2}{7}$

Step4: Calculate final value

$v = -\frac{14}{56} = -\frac{1}{4}$

Answer:

$-\frac{7}{14}$ (simplified to $-\frac{1}{2}$)