Solve for b:
`2(b+2)+2b=21`

Answer

To solve the equation \( 2(b + 2) + 2b = 21 \), we will follow these steps:

### Step 1: Expand the equation
Start by distributing the \(2\) in the term \(2(b + 2)\).

\[ 2(b + 2) = 2b + 4 \]

So, the equation becomes:

\[ 2b + 4 + 2b = 21 \]

### Step 2: Combine like terms
Now, combine the \(2b\) terms on the left side.

\[ 2b + 2b + 4 = 21 \]

This simplifies to:

\[ 4b + 4 = 21 \]

### Step 3: Isolate the term with \(b\)
Next, subtract \(4\) from both sides of the equation to isolate the term with \(b\).

\[ 4b + 4 - 4 = 21 - 4 \]

This simplifies to:

\[ 4b = 17 \]

### Step 4: Solve for \(b\)
Finally, divide both sides by \(4\) to solve for \(b\).

\[ b = \frac{17}{4} \]

### Final Answer
Thus, the solution for \(b\) is:

\[ b = \frac{17}{4} \]

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