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Posted by on Sunday, November 3, 2013 at 3:46pm.

-2 |h-7|= -28

  • Algebra - , Sunday, November 3, 2013 at 8:27pm

    You have two cases:

    h-7 >=0, where |h-7| = h-7
    h-7 < 0, where |h-7| = -(h-7)

    So,
    case 1: h-7 >= 0 (h >= 7)
    -2(h-7) = -28
    h-7 = 14
    h = 21
    Since 21 >= 7, it's a solution

    Case 2: h-7 < 0 (h < 7)
    -2(-(h-7)) = -28
    2h-14 = -28
    2h = -14
    h = -7
    Since -7 < 7, it's a solution

    So, h=-7,21

    Another way to look at it is to say
    -2|h-7| = -28
    |h-7| = 14
    That means that h has to be at a distance of 14 from 7, either above or below. So, h = -7 or 21

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