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Math·Advanced Math·Equivalent expressions

hard

$-16(5x-2{)}^2+6(5x-3{)}^2$

The given expression can be rewritten as $\frac{a}{4}{x}^2+\frac{b}{4}x+\frac{c}{4}$, where $a$, $b$, and $c$ are constants. What is the value of $a+b+c$?

A

-480

B

-240

C

-120

D

-30