Simplify 15b-3(2b+5)+2(-5b+7)

$15 b - 3 (2 b + 5) + 2 (- 5 b + 7)$

Step 1

Simplify each term.

Apply the distributive property.

$15 b - 3 (2 b) - 3 \cdot 5 + 2 (- 5 b + 7)$

Multiply $2$ by $- 3$ .

$15 b - 6 b - 3 \cdot 5 + 2 (- 5 b + 7)$

Multiply $- 3$ by $5$ .

$15 b - 6 b - 15 + 2 (- 5 b + 7)$

Apply the distributive property.

$15 b - 6 b - 15 + 2 (- 5 b) + 2 \cdot 7$

Multiply $- 5$ by $2$ .

$15 b - 6 b - 15 - 10 b + 2 \cdot 7$

Multiply $2$ by $7$ .

$15 b - 6 b - 15 - 10 b + 14$

$15 b - 6 b - 15 - 10 b + 14$

Step 2

Simplify by adding terms.

Subtract $6 b$ from $15 b$ .

$9 b - 15 - 10 b + 14$

Subtract $10 b$ from $9 b$ .

$- b - 15 + 14$

Add $- 15$ and $14$ .

$- b - 1$

$- b - 1$

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