Solve the Linear Equation: b + 2b + 4 = 0

To solve this problem, we'll follow these steps:

• Step 1: Simplify the equation by combining like terms.
• Step 2: Isolate the variable $b$ on one side of the equation.
• Step 3: Solve for the value of $b$.

Now, let's work through these steps:
Step 1: Combine the terms $b$ and $2b$ to simplify the equation:
$b + 2b + 4 = 0$ becomes $3b + 4 = 0$.

Step 2: Isolate the variable $b$ by subtracting 4 from both sides:
$3b + 4 - 4 = 0 - 4$ simplifies to $3b = -4$.

Step 3: Solve for $b$ by dividing both sides by 3:
$b = \frac{-4}{3}$.

The solution to the problem is $b = -1\frac{1}{3}$.

Therefore, choice 4 is the correct option: $-1\frac{1}{3}$.