Solving for b in an Equation

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Question:

Solve for b.

19.38 = 3.23(b + 1)

b =

Answer:

To solve for ( b ) in the equation ( 19.38 = 3.23(b + 1) ), follow these steps:

  1. Distribute ( 3.23 ) on the right side: [ 19.38 = 3.23b + 3.23 ]

  2. Subtract ( 3.23 ) from both sides: [ 19.38 - 3.23 = 3.23b ] [ 16.15 = 3.23b ]

  3. Divide both sides by ( 3.23 ) to isolate ( b ): [ b = \frac{16.15}{3.23} ]

  4. Calculate the value: [ b \approx 5.00 ]

Thus, the solution is: [ b \approx 5.00]