Question

5|b + 8| = 30

Answer 1

5b+40=30
-40 -40
5b=-10
divide by 5 on both sides
b=-2 and 2

Answer 2

\[5|b+8| = 30\]Divide both sides by 5. Now you have the absolute value expression on the left, and a number on the right.
\[|b+8| = 6\]Now, if you have \(|x| = p\), that means either \(x=p\) or \(-x = p\)

\[b+8 = 6\]\[b = 6-8 = -2\]

\[-(b+8) = 6\]\[b+8 = -6\]\[b = 8-6 = 2\]

So \(b=2,-2\) is the solution.