Can someone solve the equation 4|b+4|=48?

Question

I really need help on this one. The problem is evaluating expressions.

Answer 1

Divide by 4:

|b + 4| = 12

So you have two possibilities:

b + 4 = -12 or b + 4 = 12

b + 4 = -12, b = -16

b + 4 = 12, b = 8

So your answer is: b = -16, b = 8

Answer 2

4|b + 4| = 48

|b + 4| = 12

so either

b + 4 = 12 => b = 8

b + 4 = -12 => b = -16

Answer 3

4|b+4|=48

first isolate what is in absolute value

|b+4| = 48/4

|b+4| = 12

get rid of the absolute value sign

so b+4 = 12    and   b+4 = -12

     b = 8         and   b = -16

Answer 4

Well b=8 is the obvious answer since 4*12=48.

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But you are realy interested in when |b+4|=12

b+4=+12 implies that b=8

b+4=-12 implies that b=-16

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So the answers are b=8 and b=-16