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Math·Advanced Math·Nonlinear equations in one variable and systems of equations in two variables

hard

$$-4|5x+4|+2=-14$$

What are all solutions to the given equation?

A

$0$

B

$0\text{ and }-\frac{1}{5}$

C

$0\text{ and }-\frac{8}{5}$

D

There is no solution.