Solve VE=m(1-dt)

$$V E = m ( 1 - d t )$$

Solve for E

$$\left\{\begin{matrix}E=-\frac{m\left(dt-1\right)}{V}\text{, }&V\neq 0\\E\in \mathrm{R}\text{, }&\left(m=0\text{ and }V=0\right)\text{ or }\left(d=\frac{1}{t}\text{ and }t\neq 0\text{ and }V=0\right)\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply m by 1-dt.

$$VE=m-mdt$$

The equation is in standard form.

$$VE=m-dmt$$

Divide both sides by V.

$$\frac{VE}{V}=\frac{m-dmt}{V}$$

Dividing by V undoes the multiplication by V.

$$E=\frac{m-dmt}{V}$$

Divide m-mdt by V.

$$E=\frac{m\left(1-dt\right)}{V}$$

Solve for V

$$\left\{\begin{matrix}V=-\frac{m\left(dt-1\right)}{E}\text{, }&E\neq 0\\V\in \mathrm{R}\text{, }&\left(m=0\text{ and }E=0\right)\text{ or }\left(d=\frac{1}{t}\text{ and }t\neq 0\text{ and }E=0\right)\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply m by 1-dt.

$$VE=m-mdt$$

The equation is in standard form.

$$EV=m-dmt$$

Divide both sides by E.

$$\frac{EV}{E}=\frac{m-dmt}{E}$$

Dividing by E undoes the multiplication by E.

$$V=\frac{m-dmt}{E}$$

Divide m-mdt by E.

$$V=\frac{m\left(1-dt\right)}{E}$$