Calculate: 8 q+12 = 4 (3+2 q)

Expression: $$8 q + 12 = 4 ( 3 + 2 q )$$

Use the distributive property to multiply $4$ by $3+2q$.

$$8q+12=12+8q$$

Subtract $8q$ from both sides.

$$8q+12-8q=12$$

Combine $8q$ and $-8q$ to get $0$.

$$12=12$$

Compare $12$ and $12$.

$$\text{true}$$

This is true for any $q$.

$$q\in \mathrm{R}$$