Solve 4+8q=4/9+4+4q

$$4 + 8 q = \frac { 4 } { 9 } + 4 + 4 q$$

Solve for q

$$q=\frac{1}{9}\approx 0.111111111$$

Steps for Solving Linear Equation

Convert 4 to fraction \frac{36}{9}.

$$4+8q=\frac{4}{9}+\frac{36}{9}+4q$$

Since \frac{4}{9} and \frac{36}{9} have the same denominator, add them by adding their numerators.

$$4+8q=\frac{4+36}{9}+4q$$

Add 4 and 36 to get 40.

$$4+8q=\frac{40}{9}+4q$$

Subtract 4q from both sides.

$$4+8q-4q=\frac{40}{9}$$

Combine 8q and -4q to get 4q.

$$4+4q=\frac{40}{9}$$

Subtract 4 from both sides.

$$4q=\frac{40}{9}-4$$

Convert 4 to fraction \frac{36}{9}.

$$4q=\frac{40}{9}-\frac{36}{9}$$

Since \frac{40}{9} and \frac{36}{9} have the same denominator, subtract them by subtracting their numerators.

$$4q=\frac{40-36}{9}$$

Subtract 36 from 40 to get 4.

$$4q=\frac{4}{9}$$

Divide both sides by 4.

$$q=\frac{\frac{4}{9}}{4}$$

Express \frac{\frac{4}{9}}{4} as a single fraction.

$$q=\frac{4}{9\times 4}$$

Cancel out 4 in both numerator and denominator.

$$q=\frac{1}{9}$$