Solving for b in the equation 1 + 2b = 12 – 4b – 2b

To solve the equation step-by-step, let’s start with the original equation:

1. Rewrite the equation: Start with the equation (1 + 2b = 12 – 4b – 2b).
2. Combine like terms on the right side: The right side can be simplified. We have (-4b – 2b = -6b), so it becomes (12 – 6b). The equation now looks like this:

[

1 + 2b = 12 – 6b

]
3. Move all terms involving b to one side: Add (6b) to both sides:

[

1 + 2b + 6b = 12

]

This simplifies to:

[

1 + 8b = 12

]
4. Isolate the b term: Subtract (1) from both sides:

[

8b = 12 – 1

]

Which simplifies to:

[

8b = 11

]
5. Solve for b: Divide both sides by (8):

[

b = frac{11}{8}

]

So the solution is (b = frac{11}{8}).

This process helps you see how to isolate the