Iforgot how to do this solve. lz-8l=4 a. z=-4, z=4 b. z=-12, z=12 c. z=-12, z=-4 d. z=4, z=12

|z-8| shows that the absolute value (distance from zero) equals 4. So to find z, you can use these two equations. To validate your answer, it must be greater than zero (because absolute values are always greater than zero).
z=4 and 12.
z=|-8+4|
z=8+4

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The answer would be (c)