To solve the equation \( P = 2 + 2w \) for \( w \), we need to isolate the variable \( w \). Here is a step-by-step solution:
1. Start with the given equation:
[tex]\[
P = 2 + 2w
\][/tex]
2. Isolate the term containing \( w \):
To do this, subtract 2 from both sides of the equation:
[tex]\[
P - 2 = 2w
\][/tex]
3. Solve for \( w \):
Next, divide both sides by 2 to isolate \( w \):
[tex]\[
w = \frac{P - 2}{2}
\][/tex]
Therefore, the solution to the equation \( P = 2 + 2w \) is:
[tex]\[
w = \frac{P - 2}{2}
\][/tex]
From the given options, the correct one is:
C. [tex]\( w = \frac{P - 2}{2} \)[/tex]
