Solve for v v+0.9=0.2v+1.3

$v + 0.9 = 0.2 v + 1.3$

Move all terms containing $v$ to the left side of the equation.

Subtract $0.2 v$ from both sides of the equation.

$v + 0.9 - 0.2 v = 1.3$

Subtract $0.2 v$ from $v$ .

$0.8 v + 0.9 = 1.3$

Move all terms not containing $v$ to the right side of the equation.

Subtract $0.9$ from both sides of the equation.

$0.8 v = 1.3 - 0.9$

Subtract $0.9$ from $1.3$ .

$0.8 v = 0.4$

Divide each term in $0.8 v = 0.4$ by $0.8$ and simplify.

Divide each term in $0.8 v = 0.4$ by $0.8$ .

$\frac{0.8 v}{0.8} = \frac{0.4}{0.8}$

Simplify the left side.

Cancel the common factor of $0.8$ .

Cancel the common factor.

$\frac{0.8 v}{0.8} = \frac{0.4}{0.8}$

Divide $v$ by $1$ .

$v = \frac{0.4}{0.8}$

Simplify the right side.

Divide $0.4$ by $0.8$ .

$v = 0.5$