Solve for v 38=-6v-7v-27

$38 = - 6 v - 7 v - 27$

Step 1

Rewrite the equation as $- 6 v - 7 v - 27 = 38$ .

$- 6 v - 7 v - 27 = 38$

Step 2

Subtract $7 v$ from $- 6 v$ .

$- 13 v - 27 = 38$

Step 3

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

Add $27$ to both sides of the equation.

$- 13 v = 38 + 27$

Add $38$ and $27$ .

$- 13 v = 65$

Step 4

Divide each term in $- 13 v = 65$ by $- 13$ and simplify.

Divide each term in $- 13 v = 65$ by $- 13$ .

$\frac{- 13 v}{- 13} = \frac{65}{- 13}$

Simplify the left side.

Cancel the common factor of $- 13$ .

Cancel the common factor.

$\frac{- 13 v}{- 13} = \frac{65}{- 13}$

Divide $v$ by $1$ .

$v = \frac{65}{- 13}$

Simplify the right side.

Divide $65$ by $- 13$ .

$v = - 5$