Simplify Subtract -7x+6 from -2x^2+9x-2

Subtract $- 7 x + 6$ from $- 2 x^{2} + 9 x - 2$

Write the problem as a mathematical expression.

$- 2 x^{2} + 9 x - 2 - (- 7 x + 6)$

Simplify each term.

Apply the distributive property.

$- 2 x^{2} + 9 x - 2 - (- 7 x) - 1 \cdot 6$

Multiply $- 7$ by $- 1$ .

$- 2 x^{2} + 9 x - 2 + 7 x - 1 \cdot 6$

Multiply $- 1$ by $6$ .

$- 2 x^{2} + 9 x - 2 + 7 x - 6$

$- 2 x^{2} + 9 x - 2 + 7 x - 6$

Simplify by adding terms.

Add $9 x$ and $7 x$ .

$- 2 x^{2} + 16 x - 2 - 6$

Subtract $6$ from $- 2$ .

$- 2 x^{2} + 16 x - 8$

$- 2 x^{2} + 16 x - 8$

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