Simplify 0.05(0.3m+35n)-0.8(-0.09n-22m)

$0.05 (0.3 m + 35 n) - 0.8 (- 0.09 n - 22 m)$

Step 1

Simplify each term.

Apply the distributive property.

$0.05 (0.3 m) + 0.05 (35 n) - 0.8 (- 0.09 n - 22 m)$

Multiply $0.3$ by $0.05$ .

$0.015 m + 0.05 (35 n) - 0.8 (- 0.09 n - 22 m)$

Multiply $35$ by $0.05$ .

$0.015 m + 1.75 n - 0.8 (- 0.09 n - 22 m)$

Apply the distributive property.

$0.015 m + 1.75 n - 0.8 (- 0.09 n) - 0.8 (- 22 m)$

Multiply $- 0.09$ by $- 0.8$ .

$0.015 m + 1.75 n + 0.072 n - 0.8 (- 22 m)$

Multiply $- 22$ by $- 0.8$ .

$0.015 m + 1.75 n + 0.072 n + 17.6 m$

Step 2

Simplify by adding terms.

Add $0.015 m$ and $17.6 m$ .

$17.615 m + 1.75 n + 0.072 n$

Add $1.75 n$ and $0.072 n$ .

$17.615 m + 1.822 n$