Solve for v 28=-4v+7v+49

$28 = - 4 v + 7 v + 49$

Step 1

Rewrite the equation as $- 4 v + 7 v + 49 = 28$ .

$- 4 v + 7 v + 49 = 28$

Step 2

Add $- 4 v$ and $7 v$ .

$3 v + 49 = 28$

Step 3

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

Subtract $49$ from both sides of the equation.

$3 v = 28 - 49$

Subtract $49$ from $28$ .

$3 v = - 21$

Step 4

Divide each term in $3 v = - 21$ by $3$ and simplify.

Divide each term in $3 v = - 21$ by $3$ .

$\frac{3 v}{3} = \frac{- 21}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 v}{3} = \frac{- 21}{3}$

Divide $v$ by $1$ .

$v = \frac{- 21}{3}$

Simplify the right side.

Divide $- 21$ by $3$ .

$v = - 7$