$$x+y+z-2x-6y+3z+x+5y-8z$$
$-4z$
$$-x+y+z-6y+3z+x+5y-8z$$
$$-x-5y+z+3z+x+5y-8z$$
$$-x-5y+4z+x+5y-8z$$
$$-5y+4z+5y-8z$$
$$4z-8z$$
$$-4z$$
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$-4$
$$\frac{\mathrm{d}}{\mathrm{d}z}(-x+y+z-6y+3z+x+5y-8z)$$
$$\frac{\mathrm{d}}{\mathrm{d}z}(-x-5y+z+3z+x+5y-8z)$$
$$\frac{\mathrm{d}}{\mathrm{d}z}(-x-5y+4z+x+5y-8z)$$
$$\frac{\mathrm{d}}{\mathrm{d}z}(-5y+4z+5y-8z)$$
$$\frac{\mathrm{d}}{\mathrm{d}z}(4z-8z)$$
$$\frac{\mathrm{d}}{\mathrm{d}z}(-4z)$$
$$-4z^{1-1}$$
$$-4z^{0}$$
$$-4$$