$$(-8 { a }^{ 3 } +3 { a }^{ 4 } +5a)+(7a+ { a }^{ 4 } +5 { a }^{ 3 } )$$
$a\left(4a^{3}-3a^{2}+12\right)$
$$-8a^{3}+3a^{4}+12a+a^{4}+5a^{3}$$
$$-8a^{3}+4a^{4}+12a+5a^{3}$$
$$-3a^{3}+4a^{4}+12a$$
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$$a\left(-3a^{2}+4a^{3}+12\right)$$