Answers: The solutions are m = 7/2 and m = -3/2
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Explanation:
[tex]\text{If } |x| = k, \text{ then } x = k \text{ or } x = -k, \text{ where } k > 0[/tex]
Use that rule to break up the absolute value into two equations. Then solve each equation for m.
[tex]|2m-2| = 5\\\\2m-2 = 5 \ \text{ or } \ 2m-2 = -5\\\\2m = 5+2 \ \text{ or } \ 2m = -5+2\\\\2m = 7 \ \text{ or } \ 2m = -3\\\\m = 7/2 \ \text{ or } \ m = -3/2\\\\[/tex]
Notes:
