Solve for q 11q-45q+18q-2q+3q=-30

$11 q - 45 q + 18 q - 2 q + 3 q = - 30$

Step 1

Simplify $11 q - 45 q + 18 q - 2 q + 3 q$ .

Subtract $45 q$ from $11 q$ .

$- 34 q + 18 q - 2 q + 3 q = - 30$

Add $- 34 q$ and $18 q$ .

$- 16 q - 2 q + 3 q = - 30$

Subtract $2 q$ from $- 16 q$ .

$- 18 q + 3 q = - 30$

Add $- 18 q$ and $3 q$ .

$- 15 q = - 30$

Step 2

Divide each term in $- 15 q = - 30$ by $- 15$ and simplify.

Divide each term in $- 15 q = - 30$ by $- 15$ .

$\frac{- 15 q}{- 15} = \frac{- 30}{- 15}$

Simplify the left side.

Cancel the common factor of $- 15$ .

Cancel the common factor.

$\frac{- 15 q}{- 15} = \frac{- 30}{- 15}$

Divide $q$ by $1$ .

$q = \frac{- 30}{- 15}$

Simplify the right side.

Divide $- 30$ by $- 15$ .

$q = 2$