Solve 12v_{n}+300=19v

$$12 v _ { n } + 300 = 19 v$$

Solve for v

$$v=\frac{12\left(v_{n}+25\right)}{19}$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$19v=12v_{n}+300$$

Divide both sides by 19.

$$\frac{19v}{19}=\frac{12v_{n}+300}{19}$$

Dividing by 19 undoes the multiplication by 19.

$$v=\frac{12v_{n}+300}{19}$$

Solve for v_n

$$v_{n}=\frac{19v}{12}-25$$

Steps for Solving Linear Equation

Subtract 300 from both sides.

$$12v_{n}=19v-300$$

Divide both sides by 12.

$$\frac{12v_{n}}{12}=\frac{19v-300}{12}$$

Dividing by 12 undoes the multiplication by 12.

$$v_{n}=\frac{19v-300}{12}$$

Divide 19v-300 by 12.

$$v_{n}=\frac{19v}{12}-25$$