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

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

Step 1

Simplify each term.

Apply the distributive property.

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

Multiply $2$ by $- 4$ .

$2 b - 8 - 3 (a + 2 b + 3)$

Apply the distributive property.

$2 b - 8 - 3 a - 3 (2 b) - 3 \cdot 3$

Simplify.

Multiply $2$ by $- 3$ .

$2 b - 8 - 3 a - 6 b - 3 \cdot 3$

Multiply $- 3$ by $3$ .

$2 b - 8 - 3 a - 6 b - 9$

$2 b - 8 - 3 a - 6 b - 9$

$2 b - 8 - 3 a - 6 b - 9$

Step 2

Simplify by adding terms.

Subtract $6 b$ from $2 b$ .

$- 4 b - 8 - 3 a - 9$

Simplify the expression.

Subtract $9$ from $- 8$ .

$- 4 b - 3 a - 17$

Reorder $- 4 b$ and $- 3 a$ .

$- 3 a - 4 b - 17$

$- 3 a - 4 b - 17$

$- 3 a - 4 b - 17$

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