Solve for v v+0.9=-0.2v+1.3+0.4v

$v + 0.9 = - 0.2 v + 1.3 + 0.4 v$

Since $v$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$- 0.2 v + 1.3 + 0.4 v = v + 0.9$

Add $- 0.2 v$ and $0.4 v$ .

$0.2 v + 1.3 = v + 0.9$

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

Subtract $v$ from both sides of the equation.

$0.2 v + 1.3 - v = 0.9$

Subtract $v$ from $0.2 v$ .

$- 0.8 v + 1.3 = 0.9$

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

Subtract $1.3$ from both sides of the equation.

$- 0.8 v = 0.9 - 1.3$

Subtract $1.3$ from $0.9$ .

$- 0.8 v = - 0.4$

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 $- 0.8$ .

$v = 0.5$