$$2 { z }^{ 2 } - \frac{ 9 { z }^{ 2 } }{ 4 } +8xy-7$$
$8xy-\frac{z^{2}}{4}-7$
$$\frac{4\left(2z^{2}+8xy-7\right)}{4}-\frac{9z^{2}}{4}$$
$$\frac{4\left(2z^{2}+8xy-7\right)-9z^{2}}{4}$$
$$\frac{8z^{2}+32xy-28-9z^{2}}{4}$$
$$\frac{-z^{2}+32xy-28}{4}$$
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$\frac{32xy-z^{2}-28}{4}$
$$\frac{8z^{2}-9z^{2}+32xy-28}{4}$$
