Solve for q -75q+25q-12q+52q+35=-85

$- 75 q + 25 q - 12 q + 52 q + 35 = - 85$

Step 1

Simplify $- 75 q + 25 q - 12 q + 52 q + 35$ .

Add $- 75 q$ and $25 q$ .

$- 50 q - 12 q + 52 q + 35 = - 85$

Subtract $12 q$ from $- 50 q$ .

$- 62 q + 52 q + 35 = - 85$

Add $- 62 q$ and $52 q$ .

$- 10 q + 35 = - 85$

Step 2

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

Subtract $35$ from both sides of the equation.

$- 10 q = - 85 - 35$

Subtract $35$ from $- 85$ .

$- 10 q = - 120$

Step 3

Divide each term in $- 10 q = - 120$ by $- 10$ and simplify.

Divide each term in $- 10 q = - 120$ by $- 10$ .

$\frac{- 10 q}{- 10} = \frac{- 120}{- 10}$

Simplify the left side.

Cancel the common factor of $- 10$ .

Cancel the common factor.

$\frac{- 10 q}{- 10} = \frac{- 120}{- 10}$

Divide $q$ by $1$ .

$q = \frac{- 120}{- 10}$

Simplify the right side.

Divide $- 120$ by $- 10$ .

$q = 12$