What value of $n$ makes the statement true?

$\begin{array}{l}

6 x^n \cdot 4 x^2=24 x^6 \\

n=\square

\end{array}$



What value of $c$ makes the statement true?

$\begin{array}{l}

-2 x^3\left(c x^3+x^2\right)=-10 x^6-2 x^5 \\

c=\square

\end{array}$



What value of $t$ makes the statement true?

$\begin{array}{l}

\left(4 x^3+5\right)\left(2 x^3+3\right)=8 x^6+t x^3+15 \\

t=\square

\end{array}$



What value of $k$ makes the statement true?

$x^k y^4\left(2 x^3+7 x^2 y^4\right)=2 x^4 y^4+7 x^3 y^8$