Simplify -3a+4b-2+5(2-4b+2a)

$- 3 a + 4 b - 2 + 5 (2 - 4 b + 2 a)$

Step 1

Simplify each term.

Apply the distributive property.

$- 3 a + 4 b - 2 + 5 \cdot 2 + 5 (- 4 b) + 5 (2 a)$

Simplify.

Multiply $5$ by $2$ .

$- 3 a + 4 b - 2 + 10 + 5 (- 4 b) + 5 (2 a)$

Multiply $- 4$ by $5$ .

$- 3 a + 4 b - 2 + 10 - 20 b + 5 (2 a)$

Multiply $2$ by $5$ .

$- 3 a + 4 b - 2 + 10 - 20 b + 10 a$

Step 2

Simplify by adding terms.

Add $- 3 a$ and $10 a$ .

$7 a + 4 b - 2 + 10 - 20 b$

Subtract $20 b$ from $4 b$ .

$7 a - 16 b - 2 + 10$

Add $- 2$ and $10$ .

$7 a - 16 b + 8$