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

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

Solve for v

$$v = -\frac{5320}{263} = -20\frac{60}{263} \approx -20.228136882$$

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.

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

Multiply 40 and 133 to get 5320.

$$5320+40v\left(-\frac{1}{40}\right)=-2v\left(133-1\right)$$

Cancel out 40 and 40.

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

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 263v.

$$5320+263v=0$$

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

$$263v=-5320$$

Divide both sides by 263.

$$v=\frac{-5320}{263}$$

Fraction \frac{-5320}{263} can be rewritten as -\frac{5320}{263} by extracting the negative sign.

$$v=-\frac{5320}{263}$$