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Math·Advanced Math·Equivalent expressions

hard

The functions $f$, $g$, and $h$ are defined as $f(x)=4x+5$, $g(x)=5x-2$, and $h(x)=6x+7$. If $f(x)\cdot g(x)-h(x)=a{x}^2+bx+c$, where $a$, $b$, and $c$ are constants, what is the value of $b$?

A

-6

B

11

C

23

D

27