Simplify (-7n^2+8n-4)-(-11n+2-14n^2)

$(- 7 n^{2} + 8 n - 4) - (- 11 n + 2 - 14 n^{2})$

Step 1

Simplify each term.

Apply the distributive property.

$- 7 n^{2} + 8 n - 4 - (- 11 n) - 1 \cdot 2 - (- 14 n^{2})$

Simplify.

Multiply $- 11$ by $- 1$ .

$- 7 n^{2} + 8 n - 4 + 11 n - 1 \cdot 2 - (- 14 n^{2})$

Multiply $- 1$ by $2$ .

$- 7 n^{2} + 8 n - 4 + 11 n - 2 - (- 14 n^{2})$

Multiply $- 14$ by $- 1$ .

$- 7 n^{2} + 8 n - 4 + 11 n - 2 + 14 n^{2}$

Step 2

Simplify by adding terms.

Add $- 7 n^{2}$ and $14 n^{2}$ .

$7 n^{2} + 8 n - 4 + 11 n - 2$

Add $8 n$ and $11 n$ .

$7 n^{2} + 19 n - 4 - 2$

Subtract $2$ from $- 4$ .

$7 n^{2} + 19 n - 6$