Question

|m+4|+5=29

Answer 1

So first we can move the 5 to the right side of the equation:
|m+4| = 24
so |m+4| must equal 24. In other words the left side must equal 24. Okay?

There are two ways this is true:

Case 1:
m=20 so |20 +4| = |24| = 24

Case 2: (The stuff in the absolute value sign can be equal to negative 24)
m= -28 so |-28 +4| = |-24| = 24
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So we have m= 20 OR m= -28

Answer 2

|m+4|+5=29
|m+4| =29 - 5 = 24

-> m + 4 = + 24
=> m = 24 - 4 = 20

or m + 4 = - 24 -> m = - 24 - 4 = - 28

Answer 3

Thus m = 20 or m = -28