Solve 133/v-1/-40=133-1/-20

$$\frac{ 133 }{ v } - \frac{ 1 }{ -40 } = \frac{ 133-1 }{ -20 }$$

Solve for v

$$v = -\frac{1064}{53} = -20\frac{4}{53} \approx -20.075471698$$

Steps for Solving Linear Equation

Variable v cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 40v, the least common multiple of v,-40,-20.

$$40\times 133+v=-2v\left(133-1\right)$$

Multiply 40 and 133 to get 5320.

$$5320+v=-2v\left(133-1\right)$$

Subtract 1 from 133 to get 132.

$$5320+v=-2v\times 132$$

Multiply -2 and 132 to get -264.

$$5320+v=-264v$$

Add 264v to both sides.

$$5320+v+264v=0$$

Combine v and 264v to get 265v.

$$5320+265v=0$$

Subtract 5320 from both sides. Anything subtracted from zero gives its negation.

$$265v=-5320$$

Divide both sides by 265.

$$v=\frac{-5320}{265}$$

Reduce the fraction \frac{-5320}{265} to lowest terms by extracting and canceling out 5.

$$v=-\frac{1064}{53}$$