Simplify 2m4b-3a2n-0.2b5m+n5a-5bm+8na

$2 m \cdot 4 b - 3 a \cdot 2 n - 0.2 b \cdot 5 m + n \cdot 5 a - 5 b m + 8 n a$

Step 1

Simplify each term.

Rewrite using the commutative property of multiplication.

$2 \cdot 4 m b - 3 a \cdot (2 n) - 0.2 b \cdot (5 m) + n \cdot (5 a) - 5 b m + 8 n a$

Multiply $2$ by $4$ .

$8 m b - 3 a \cdot (2 n) - 0.2 b \cdot (5 m) + n \cdot (5 a) - 5 b m + 8 n a$

Rewrite using the commutative property of multiplication.

$8 m b - 3 \cdot 2 a n - 0.2 b \cdot (5 m) + n \cdot (5 a) - 5 b m + 8 n a$

Multiply $- 3$ by $2$ .

$8 m b - 6 a n - 0.2 b \cdot (5 m) + n \cdot (5 a) - 5 b m + 8 n a$

Rewrite using the commutative property of multiplication.

$8 m b - 6 a n - 0.2 \cdot 5 b m + n \cdot (5 a) - 5 b m + 8 n a$

Multiply $- 0.2$ by $5$ .

$8 m b - 6 a n - b m + n \cdot (5 a) - 5 b m + 8 n a$

Rewrite using the commutative property of multiplication.

$8 m b - 6 a n - b m + 5 n a - 5 b m + 8 n a$

Step 2

Subtract $b m$ from $8 m b$ .

Move $m$ .

$8 b m - b m - 6 a n + 5 n a - 5 b m + 8 n a$

Subtract $b m$ from $8 b m$ .

$7 b m - 6 a n + 5 n a - 5 b m + 8 n a$

Step 3

Subtract $5 b m$ from $7 b m$ .

$2 b m - 6 a n + 5 n a + 8 n a$

Step 4

Add $- 6 a n$ and $5 n a$ .

Move $n$ .

$2 b m - 6 a n + 5 a n + 8 n a$

Add $- 6 a n$ and $5 a n$ .

$2 b m - a n + 8 n a$

Step 5

Add $- a n$ and $8 n a$ .

Move $n$ .

$2 b m - a n + 8 a n$

Add $- a n$ and $8 a n$ .

$2 b m + 7 a n$

Simplify 2m*4b-3a*2n-0.2b*5m+n*5a-5bm+8na