Step 1:
First, we simplify the expression inside the square brackets:
$$\left(7 c^{3}-2 c^{2}+c\right)-\left(4 c^{3}+4 c\right)$$
This simplifies to:
$$7 c^{3}-2 c^{2}+c-4 c^{3}-4 c$$
Grouping like terms, we get:
$$\left(7 c^{3}-4 c^{3}\right)+\left(-2
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