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6n^{4}-3n^{3}+21n-27-4n-6+9n^{3}+10n^{2}-5n^{4}
Use the distributive property to multiply -3 by -2n^{4}+n^{3}-7n+9.
6n^{4}-3n^{3}+17n-27-6+9n^{3}+10n^{2}-5n^{4}
Combine 21n and -4n to get 17n.
6n^{4}-3n^{3}+17n-33+9n^{3}+10n^{2}-5n^{4}
Subtract 6 from -27 to get -33.
6n^{4}+6n^{3}+17n-33+10n^{2}-5n^{4}
Combine -3n^{3} and 9n^{3} to get 6n^{3}.
n^{4}+6n^{3}+17n-33+10n^{2}
Combine 6n^{4} and -5n^{4} to get n^{4}.
6n^{4}-3n^{3}+21n-27-4n-6+9n^{3}+10n^{2}-5n^{4}
Use the distributive property to multiply -3 by -2n^{4}+n^{3}-7n+9.
6n^{4}-3n^{3}+17n-27-6+9n^{3}+10n^{2}-5n^{4}
Combine 21n and -4n to get 17n.
6n^{4}-3n^{3}+17n-33+9n^{3}+10n^{2}-5n^{4}
Subtract 6 from -27 to get -33.
6n^{4}+6n^{3}+17n-33+10n^{2}-5n^{4}
Combine -3n^{3} and 9n^{3} to get 6n^{3}.
n^{4}+6n^{3}+17n-33+10n^{2}
Combine 6n^{4} and -5n^{4} to get n^{4}.