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7-4k^{2}+9k+5k^{2}-7
Combine k and 8k to get 9k.
7+k^{2}+9k-7
Combine -4k^{2} and 5k^{2} to get k^{2}.
k^{2}+9k
Subtract 7 from 7 to get 0.
k^{2}+9k
Multiply and combine like terms.
k\left(k+9\right)
Factor out k.