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-6\left(-k\right)k^{9}-15\left(-k\right)+10-12k^{10}-5
Use the distributive property to multiply -k by -6k^{9}-15.
6kk^{9}-15\left(-k\right)+10-12k^{10}-5
Multiply -6 and -1 to get 6.
6k^{10}-15\left(-k\right)+10-12k^{10}-5
To multiply powers of the same base, add their exponents. Add 1 and 9 to get 10.
6k^{10}+15k+10-12k^{10}-5
Multiply -15 and -1 to get 15.
-6k^{10}+15k+10-5
Combine 6k^{10} and -12k^{10} to get -6k^{10}.
-6k^{10}+15k+5
Subtract 5 from 10 to get 5.
-6\left(-k\right)k^{9}-15\left(-k\right)+10-12k^{10}-5
Use the distributive property to multiply -k by -6k^{9}-15.
6kk^{9}-15\left(-k\right)+10-12k^{10}-5
Multiply -6 and -1 to get 6.
6k^{10}-15\left(-k\right)+10-12k^{10}-5
To multiply powers of the same base, add their exponents. Add 1 and 9 to get 10.
6k^{10}+15k+10-12k^{10}-5
Multiply -15 and -1 to get 15.
-6k^{10}+15k+10-5
Combine 6k^{10} and -12k^{10} to get -6k^{10}.
-6k^{10}+15k+5
Subtract 5 from 10 to get 5.