Solve for v 72v-52v+17v-11=100

$72 v - 52 v + 17 v - 11 = 100$

Step 1

Simplify $72 v - 52 v + 17 v - 11$ .

Subtract $52 v$ from $72 v$ .

$20 v + 17 v - 11 = 100$

Add $20 v$ and $17 v$ .

$37 v - 11 = 100$

Step 2

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

Add $11$ to both sides of the equation.

$37 v = 100 + 11$

Add $100$ and $11$ .

$37 v = 111$

Step 3

Divide each term in $37 v = 111$ by $37$ and simplify.

Divide each term in $37 v = 111$ by $37$ .

$\frac{37 v}{37} = \frac{111}{37}$

Simplify the left side.

Cancel the common factor of $37$ .

Cancel the common factor.

$\frac{37 v}{37} = \frac{111}{37}$

Divide $v$ by $1$ .

$v = \frac{111}{37}$

Simplify the right side.

Divide $111$ by $37$ .

$v = 3$