Simplify (-4b+15-7k)-(6+4b-2k)

$(- 4 b + 15 - 7 k) - (6 + 4 b - 2 k)$

Simplify each term.

Apply the distributive property.

$- 4 b + 15 - 7 k - 1 \cdot 6 - (4 b) - (- 2 k)$

Simplify.

Multiply $- 1$ by $6$ .

$- 4 b + 15 - 7 k - 6 - (4 b) - (- 2 k)$

Multiply $4$ by $- 1$ .

$- 4 b + 15 - 7 k - 6 - 4 b - (- 2 k)$

Multiply $- 2$ by $- 1$ .

$- 4 b + 15 - 7 k - 6 - 4 b + 2 k$

$- 4 b + 15 - 7 k - 6 - 4 b + 2 k$

$- 4 b + 15 - 7 k - 6 - 4 b + 2 k$

Simplify by adding terms.

Subtract $4 b$ from $- 4 b$ .

$- 8 b + 15 - 7 k - 6 + 2 k$

Subtract $6$ from $15$ .

$- 8 b - 7 k + 9 + 2 k$

Add $- 7 k$ and $2 k$ .

$- 8 b - 5 k + 9$

$- 8 b - 5 k + 9$

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