Simplify -3+7(a-3b-1)-4(10-a+2b)

$- 3 + 7 (a - 3 b - 1) - 4 (10 - a + 2 b)$

Step 1

Simplify each term.

Apply the distributive property.

$- 3 + 7 a + 7 (- 3 b) + 7 \cdot - 1 - 4 (10 - a + 2 b)$

Simplify.

Multiply $- 3$ by $7$ .

$- 3 + 7 a - 21 b + 7 \cdot - 1 - 4 (10 - a + 2 b)$

Multiply $7$ by $- 1$ .

$- 3 + 7 a - 21 b - 7 - 4 (10 - a + 2 b)$

Apply the distributive property.

$- 3 + 7 a - 21 b - 7 - 4 \cdot 10 - 4 (- a) - 4 (2 b)$

Simplify.

Multiply $- 4$ by $10$ .

$- 3 + 7 a - 21 b - 7 - 40 - 4 (- a) - 4 (2 b)$

Multiply $- 1$ by $- 4$ .

$- 3 + 7 a - 21 b - 7 - 40 + 4 a - 4 (2 b)$

Multiply $2$ by $- 4$ .

$- 3 + 7 a - 21 b - 7 - 40 + 4 a - 8 b$

Step 2

Simplify by adding terms.

Subtract $7$ from $- 3$ .

$7 a - 21 b - 10 - 40 + 4 a - 8 b$

Add $7 a$ and $4 a$ .

$11 a - 21 b - 10 - 40 - 8 b$

Subtract $8 b$ from $- 21 b$ .

$11 a - 29 b - 10 - 40$

Subtract $40$ from $- 10$ .

$11 a - 29 b - 50$