Solve for q 20-16q=-5q-20-9q

$20 - 16 q = - 5 q - 20 - 9 q$

Step 1

Since $q$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$- 5 q - 20 - 9 q = 20 - 16 q$

Step 2

Subtract $9 q$ from $- 5 q$ .

$- 14 q - 20 = 20 - 16 q$

Step 3

Move all terms containing $q$ to the left side of the equation.

Add $16 q$ to both sides of the equation.

$- 14 q - 20 + 16 q = 20$

Add $- 14 q$ and $16 q$ .

$2 q - 20 = 20$

Step 4

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

Add $20$ to both sides of the equation.

$2 q = 20 + 20$

Add $20$ and $20$ .

$2 q = 40$

Step 5

Divide each term in $2 q = 40$ by $2$ and simplify.

Divide each term in $2 q = 40$ by $2$ .

$\frac{2 q}{2} = \frac{40}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 q}{2} = \frac{40}{2}$

Divide $q$ by $1$ .

$q = \frac{40}{2}$

Simplify the right side.

Divide $40$ by $2$ .

$q = 20$