Solve 1.33/v-1/-40=1.33-1/-20

$$\frac{ 1.33 }{ v } - \frac{ 1 }{ -40 } = \frac{ 1.33-1 }{ -20 }$$

Solve for v

$$v = -\frac{2660}{83} = -32\frac{4}{83} \approx -32.048192771$$

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.

$$40\times 1.33+v=-2v\left(1.33-1\right)$$

Multiply 40 and 1.33 to get 53.2.

$$53.2+v=-2v\left(1.33-1\right)$$

Subtract 1 from 1.33 to get 0.33.

$$53.2+v=-2v\times 0.33$$

Multiply -2 and 0.33 to get -0.66.

$$53.2+v=-0.66v$$

Add 0.66v to both sides.

$$53.2+v+0.66v=0$$

Combine v and 0.66v to get 1.66v.

$$53.2+1.66v=0$$

Subtract 53.2 from both sides. Anything subtracted from zero gives its negation.

$$1.66v=-53.2$$

Divide both sides by 1.66.

$$v=\frac{-53.2}{1.66}$$

Expand \frac{-53.2}{1.66} by multiplying both numerator and the denominator by 100.

$$v=\frac{-5320}{166}$$

Reduce the fraction \frac{-5320}{166} to lowest terms by extracting and canceling out 2.

$$v=-\frac{2660}{83}$$