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Solve for bb.\newline6=∣-2b∣6 = |\text{-}2b|\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlineb=b = _____ or b=b = _____

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Q. Solve for bb.\newline6=∣-2b∣6 = |\text{-}2b|\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlineb=b = _____ or b=b = _____
  1. Understand absolute value equation: Understand the absolute value equation.\newlineThe equation 6=∣-2b∣6 = |\text{-}2b| means that the absolute value of -2b\text{-}2b is equal to 66. This implies that -2b\text{-}2b can either be 66 or −6-6 because the absolute value of a number is always non-negative.
  2. Set up two equations: Set up two separate equations to solve for bb. Since the absolute value of –2b–2b is 66, we can write two equations: –2b=6–2b = 6 and –2b=−6–2b = -6
  3. Solve first equation: Solve the first equation −2b=6-2b = 6.\newlineDivide both sides by −2-2 to isolate bb.\newlineb=6−2b = \frac{6}{-2}\newlineb=−3b = -3
  4. Solve second equation: Solve the second equation −2b=−6-2b = -6.\newlineDivide both sides by −2-2 to isolate bb.\newlineb=−6/−2b = -6 / -2\newlineb=3b = 3

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