To solve the linear equation 4b + 6 = 2b + 4, we will follow these steps:
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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
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Step 2: Simplifying the equation
Now, combine like terms:2b + 6 = 4
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Step 3: Solving for b
Next, we will isolate b. Start by subtracting 6 from both sides:2b = 4 – 6
2b = -2
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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.