Solve the equation.
12 equals StartAbsoluteValue m plus 8 EndAbsoluteValue
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Part 1
Select the correct choice and, if necessary, fill in the answer box in your choice below.
A.
mequals
enter your response here
(Simplify your answer. Use a comma to separate answers as needed.)
B.
There is no solution.
To solve the equation, we need to isolate the absolute value term. We can do this by subtracting 8 from both sides of the equation.
12 - 8 = |m|
4 = |m|
The absolute value of a number can be written as either the number itself or its negation. Therefore, we have two possible solutions for m:
m = 4 or m = -4.
So, the correct choice is:
A. m = 4, -4.