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3t^{3}-12t^{2}+18t-9+5\left(-t^{3}+2t^{2}+9t+11\right)
Use the distributive property to multiply 3 by t^{3}-4t^{2}+6t-3.
3t^{3}-12t^{2}+18t-9+5\left(-t^{3}\right)+10t^{2}+45t+55
Use the distributive property to multiply 5 by -t^{3}+2t^{2}+9t+11.
3t^{3}-2t^{2}+18t-9+5\left(-t^{3}\right)+45t+55
Combine -12t^{2} and 10t^{2} to get -2t^{2}.
3t^{3}-2t^{2}+63t-9+5\left(-t^{3}\right)+55
Combine 18t and 45t to get 63t.
3t^{3}-2t^{2}+63t+46+5\left(-t^{3}\right)
Add -9 and 55 to get 46.
3t^{3}-2t^{2}+63t+46-5t^{3}
Multiply 5 and -1 to get -5.
-2t^{3}-2t^{2}+63t+46
Combine 3t^{3} and -5t^{3} to get -2t^{3}.
3t^{3}-12t^{2}+18t-9+5\left(-t^{3}+2t^{2}+9t+11\right)
Use the distributive property to multiply 3 by t^{3}-4t^{2}+6t-3.
3t^{3}-12t^{2}+18t-9+5\left(-t^{3}\right)+10t^{2}+45t+55
Use the distributive property to multiply 5 by -t^{3}+2t^{2}+9t+11.
3t^{3}-2t^{2}+18t-9+5\left(-t^{3}\right)+45t+55
Combine -12t^{2} and 10t^{2} to get -2t^{2}.
3t^{3}-2t^{2}+63t-9+5\left(-t^{3}\right)+55
Combine 18t and 45t to get 63t.
3t^{3}-2t^{2}+63t+46+5\left(-t^{3}\right)
Add -9 and 55 to get 46.
3t^{3}-2t^{2}+63t+46-5t^{3}
Multiply 5 and -1 to get -5.
-2t^{3}-2t^{2}+63t+46
Combine 3t^{3} and -5t^{3} to get -2t^{3}.