i have to show ALL work

Answer:
Answer:C = 8
Answer:C = 8Step-by-step explanation:
-2(4c+16)^1/4+2=-2
Move the constant to the right and change the sign
-2(4c+16)^1/4= -2-2
transform expression
[tex] - 2 \sqrt[4]{4c - 16} = - 4[/tex]
Divide each side by -2
[tex] \sqrt[4]{4c - 16 } = 2[/tex]
raise both side of the equation by power of 4
4c-16=16
move constant to the right and change the sign
4c=16+16
4c=32
THEN DIVIDE BOTH SIDES BY 4
C = 8