Combine -7(7q^2-7q+3)+6(-q^2+9q-9)

$- 7 (7 q^{2} - 7 q + 3) + 6 (- q^{2} + 9 q - 9)$

Simplify each term.

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Apply the distributive property.

$- 7 (7 q^{2}) - 7 (- 7 q) - 7 \cdot 3 + 6 (- q^{2} + 9 q - 9)$

Simplify.

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Multiply $7$ by $- 7$ .

$- 49 q^{2} - 7 (- 7 q) - 7 \cdot 3 + 6 (- q^{2} + 9 q - 9)$

Multiply $- 7$ by $- 7$ .

$- 49 q^{2} + 49 q - 7 \cdot 3 + 6 (- q^{2} + 9 q - 9)$

Multiply $- 7$ by $3$ .

$- 49 q^{2} + 49 q - 21 + 6 (- q^{2} + 9 q - 9)$

Apply the distributive property.

$- 49 q^{2} + 49 q - 21 + 6 (- q^{2}) + 6 (9 q) + 6 \cdot - 9$

Simplify.

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Multiply $- 1$ by $6$ .

$- 49 q^{2} + 49 q - 21 - 6 q^{2} + 6 (9 q) + 6 \cdot - 9$

Multiply $9$ by $6$ .

$- 49 q^{2} + 49 q - 21 - 6 q^{2} + 54 q + 6 \cdot - 9$

Multiply $6$ by $- 9$ .

$- 49 q^{2} + 49 q - 21 - 6 q^{2} + 54 q - 54$

Simplify by adding terms.

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Subtract $6 q^{2}$ from $- 49 q^{2}$ .

$- 55 q^{2} + 49 q - 21 + 54 q - 54$

Add $49 q$ and $54 q$ .

$- 55 q^{2} + 103 q - 21 - 54$

Subtract $54$ from $- 21$ .

$- 55 q^{2} + 103 q - 75$

Combine -7(7q^2-7q+3)+6(-q^2+9q-9)