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

$$v = \frac{2660}{17} = 156\frac{8}{17} \approx 156.470588235$$

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.

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

Multiply 40 and 1.33 to get 53.2.

$$53.2+40v\left(-\frac{1}{40}\right)=-2v\left(1.33-1\right)$$

Cancel out 40 and 40.

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

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 -0.34v.

$$53.2-0.34v=0$$

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

$$-0.34v=-53.2$$

Divide both sides by -0.34.

$$v=\frac{-53.2}{-0.34}$$

Expand \frac{-53.2}{-0.34} by multiplying both numerator and the denominator by 100.

$$v=\frac{-5320}{-34}$$

Reduce the fraction \frac{-5320}{-34} to lowest terms by extracting and canceling out -2.

$$v=\frac{2660}{17}$$