Solve 89-q=10left(1-qright)

$$89-q=10 \left( 1-q \right)$$

Solve for q

$$q = -\frac{79}{9} = -8\frac{7}{9} \approx -8.777777778$$

Steps for Solving Linear Equation

Use the distributive property to multiply 10 by 1-q.

$$89-q=10-10q$$

Add 10q to both sides.

$$89-q+10q=10$$

Combine -q and 10q to get 9q.

$$89+9q=10$$

Subtract 89 from both sides.

$$9q=10-89$$

Subtract 89 from 10 to get -79.

$$9q=-79$$

Divide both sides by 9.

$$q=\frac{-79}{9}$$

Fraction \frac{-79}{9} can be rewritten as -\frac{79}{9} by extracting the negative sign.

$$q=-\frac{79}{9}$$