$$2 \sqrt{ k } -2-6 \sqrt{ 2 } =0$$
$k=6\sqrt{2}+19\approx 27.485281374$
$$2\sqrt{k}-6\sqrt{2}-2-\left(-6\sqrt{2}-2\right)=-\left(-6\sqrt{2}-2\right)$$
$$2\sqrt{k}=-\left(-6\sqrt{2}-2\right)$$
$$2\sqrt{k}=6\sqrt{2}+2$$
$$\frac{2\sqrt{k}}{2}=\frac{6\sqrt{2}+2}{2}$$
$$\sqrt{k}=\frac{6\sqrt{2}+2}{2}$$
$$\sqrt{k}=3\sqrt{2}+1$$
$$k=6\sqrt{2}+19$$
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