Solve the Linear Equation: 2b + 16 + b = -2

To solve the equation $2b + 16 + b = -2$, we'll follow these steps:

• Step 1: Combine like terms on the left side of the equation.
• Step 2: Isolate the variable $b$ on one side of the equation.
• Step 3: Solve for $b$.

Now, let's work through each step:

Step 1: Combine the terms with the variable $b$ on the left side. We have $2b + b = 3b$. Thus, the equation becomes:

$3b + 16 = -2$

Step 2: Subtract 16 from both sides to isolate the term with the variable:

$3b + 16 - 16 = -2 - 16$

Which simplifies to:

$3b = -18$

Step 3: Divide both sides by 3 to solve for $b$:

$b = \frac{-18}{3}$

The solution is:

$b = -6$

Therefore, the solution to the equation is $b = -6$, corresponding to choice 1.