Solve for \( v \) \[ \frac{7}{5 v}+\frac{2}{3 v}=1 \]

Solve the equation \( \frac{7}{5v}+\frac{2}{3v}=1 \). Solve the equation by following steps: - step0: Solve for \(v\): \(\frac{7}{5v}+\frac{2}{3v}=1\) - step1: Find the domain: \(\frac{7}{5v}+\frac{2}{3v}=1,v\neq 0\) - step2: Multiply both sides of the equation by LCD: \(\left(\frac{7}{5v}+\frac{2}{3v}\right)\times 15v=1\times 15v\) - step3: Simplify the equation: \(31=15v\) - step4: Swap the sides: \(15v=31\) - step5: Divide both sides: \(\frac{15v}{15}=\frac{31}{15}\) - step6: Divide the numbers: \(v=\frac{31}{15}\) - step7: Check if the solution is in the defined range: \(v=\frac{31}{15},v\neq 0\) - step8: Find the intersection: \(v=\frac{31}{15}\) The solution to the equation \( \frac{7}{5v}+\frac{2}{3v}=1 \) is \( v = \frac{31}{15} \) or \( v = 2.066 \).