If `P=2(L+M)`, what is W in terms of P and L?

Options

A. `P-2L`
B. `(P-2L)/(2)`
C. `(2L-P)/(2)`
D. `(1)/(2)(P-L)`

Answer

To solve the equation \( P = 2(L + M) \) for \( M \) in terms of \( P \) and \( L \), we can follow these steps:

### Step 1: Start with the given equation
We have the equation:
\[ P = 2(L + M) \]

### Step 2: Divide both sides by 2
To isolate the term \( (L + M) \), we divide both sides of the equation by 2:
\[ \frac{P}{2} = L + M \]

### Step 3: Subtract \( L \) from both sides
Next, we want to isolate \( M \). We do this by subtracting \( L \) from both sides:
\[ \frac{P}{2} - L = M \]

### Step 4: Rearranging the equation
We can rearrange this to express \( M \) clearly:
\[ M = \frac{P}{2} - L \]

### Step 5: Final expression for \( M \)
This is our final expression for \( M \) in terms of \( P \) and \( L \):
\[ M = \frac{P - 2L}{2} \]