Evaluate: 13 = 5 (1+4 m)-2 m

Expression: $$13 = 5 ( 1 + 4 m ) - 2 m$$

Use the distributive property to multiply $5$ by $1+4m$.

$$13=5+20m-2m$$

Combine $20m$ and $-2m$ to get $18m$.

$$13=5+18m$$

Swap sides so that all variable terms are on the left hand side.

$$5+18m=13$$

Subtract $5$ from both sides.

$$18m=13-5$$

Subtract $5$ from $13$ to get $8$.

$$18m=8$$

Divide both sides by $18$.

$$m=\frac{8}{18}$$

Reduce the fraction $\frac{8}{18}$ to lowest terms by extracting and canceling out $2$.

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