What is the solution to the linear equation 4b + 6 = 2b + 4?

To solve the linear equation 4b + 6 = 2b + 4, we will follow these steps:

  1. Step 1: Rearranging the equation
    First, we want to get all terms involving b on one side of the equation and constant terms on the other side. We can start by subtracting 2b from both sides:

    4b – 2b + 6 = 4

  2. Step 2: Simplifying the equation
    Now, combine like terms:

    2b + 6 = 4

  3. Step 3: Solving for b
    Next, we will isolate b. Start by subtracting 6 from both sides:

    2b = 4 – 6

    2b = -2

  4. Step 4: Dividing by 2
    Finally, divide both sides by 2 to solve for b:

    b = -2 / 2

    b = -1

So, the solution to the linear equation 4b + 6 = 2b + 4 is b = -1.

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