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3q+4q+7q-4q+4q-q^{2}
Multiply q and q to get q^{2}.
7q+7q-4q+4q-q^{2}
Combine 3q and 4q to get 7q.
14q-4q+4q-q^{2}
Combine 7q and 7q to get 14q.
10q+4q-q^{2}
Combine 14q and -4q to get 10q.
14q-q^{2}
Combine 10q and 4q to get 14q.
q\left(14-q\right)
Factor out q.
-q+14
Consider 3+4+7-4+4-q. Multiply and combine like terms.
q\left(-q+14\right)
Rewrite the complete factored expression.