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-a^{2}+7a-4a^{2}
Combine 4a and 3a to get 7a.
-5a^{2}+7a
Combine -a^{2} and -4a^{2} to get -5a^{2}.
a\left(-5a+7\right)
Factor out a.
-5a+7
Consider -a+4+3-4a. Multiply and combine like terms.
a\left(-5a+7\right)
Rewrite the complete factored expression.