Simplify 6(2c-cd^2+d)

$6 (2 c - c d^{2} + d)$

Apply the distributive property.

$6 (2 c) + 6 (- c d^{2}) + 6 d$

Simplify.

Multiply $2$ by $6$ .

$12 c + 6 (- c d^{2}) + 6 d$

Multiply $- 1$ by $6$ .

$12 c - 6 (c d^{2}) + 6 d$

$12 c - 6 (c d^{2}) + 6 d$

Reorder $12 c$ and $- 6 c d^{2}$ .

$- 6 c d^{2} + 12 c + 6 d$

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