Solve for q -0.7q+0.296-4q=-0.304-4.9q

$- 0.7 q + 0.296 - 4 q = - 0.304 - 4.9 q$

Step 1

Subtract $4 q$ from $- 0.7 q$ .

$- 4.7 q + 0.296 = - 0.304 - 4.9 q$

Step 2

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

Add $4.9 q$ to both sides of the equation.

$- 4.7 q + 0.296 + 4.9 q = - 0.304$

Add $- 4.7 q$ and $4.9 q$ .

$0.2 q + 0.296 = - 0.304$

Step 3

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

Subtract $0.296$ from both sides of the equation.

$0.2 q = - 0.304 - 0.296$

Subtract $0.296$ from $- 0.304$ .

$0.2 q = - 0.6$

Step 4

Divide each term in $0.2 q = - 0.6$ by $0.2$ and simplify.

Divide each term in $0.2 q = - 0.6$ by $0.2$ .

$\frac{0.2 q}{0.2} = \frac{- 0.6}{0.2}$

Simplify the left side.

Cancel the common factor of $0.2$ .

Cancel the common factor.

$\frac{0.2 q}{0.2} = \frac{- 0.6}{0.2}$

Divide $q$ by $1$ .

$q = \frac{- 0.6}{0.2}$

Simplify the right side.

Divide $- 0.6$ by $0.2$ .

$q = - 3$