Simplify -3(2x^2-8)+7

$- 3 (2 x^{2} - 8) + 7$

Simplify each term.

Apply the distributive property.

$- 3 (2 x^{2}) - 3 \cdot - 8 + 7$

Multiply $2$ by $- 3$ .

$- 6 x^{2} - 3 \cdot - 8 + 7$

Multiply $- 3$ by $- 8$ .

$- 6 x^{2} + 24 + 7$

$- 6 x^{2} + 24 + 7$

Add $24$ and $7$ .

$- 6 x^{2} + 31$

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