# Algebra

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-2 |h-7|= -28

• Algebra -

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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