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16n-12n^{3}-\left(3n^{3}+4n\right)
Use the distributive property to multiply 4 by 4n-3n^{3}.
16n-12n^{3}-3n^{3}-4n
To find the opposite of 3n^{3}+4n, find the opposite of each term.
16n-15n^{3}-4n
Combine -12n^{3} and -3n^{3} to get -15n^{3}.
12n-15n^{3}
Combine 16n and -4n to get 12n.
16n-12n^{3}-\left(3n^{3}+4n\right)
Use the distributive property to multiply 4 by 4n-3n^{3}.
16n-12n^{3}-3n^{3}-4n
To find the opposite of 3n^{3}+4n, find the opposite of each term.
16n-15n^{3}-4n
Combine -12n^{3} and -3n^{3} to get -15n^{3}.
12n-15n^{3}
Combine 16n and -4n to get 12n.