To solve the linear equation 4b + 6 = 2b + 4, we need to isolate the variable b on one side of the equation.
First, let’s simplify the equation. We can start by moving all the terms involving b to one side and the constant numbers to the other side. We do this by subtracting 2b from both sides:
4b - 2b + 6 = 4
This simplifies to:
2b + 6 = 4
Next, we isolate 2b by subtracting 6 from both sides:
2b = 4 - 6
Which simplifies to:
2b = -2
Now, divide both sides by 2 to solve for b:
b = -2 / 2
This gives us:
b = -1
Thus, the solution to the linear equation 4b + 6 = 2b + 4 is b = -1.