Answer:
b = 2 or b = -2
Step-by-step explanation:
|4b + 4| = |2b + 8|
Solve absolute value
|4b + 4| = |2b + 8|
Either 4b + 4 = 2b + 8 or 4b + 4 = −(2b + 8)
4b + 4 = 2b + 8 (Possibility 1)
4b + 4 − 2b = 2b + 8 − 2b (Subtract 2b from both sides)
2b + 4 = 8
2b + 4 − 4 = 8 − 4 (Subtract 4 from both sides)
2b = 4
2b / 2 = 4 / 2 (Divide both sides by 2)
b = 2
4b + 4 = −(2b + 8) (Possibility 2)
4b + 4 = −2b − 8 (Simplify both sides of the equation)
4b + 4 + 2b = −2b − 8 + 2b (Add 2b to both sides)
6b + 4 = −8
6b + 4 − 4 = −8 − 4 (Subtract 4 from both sides)
6b = −12
6b / 6 = -12 / 6 (Divide both sides by 6)
b = -2
b = 2 or b = -2