To simplify the equation, we start by distributing fractions.
First, distributing \( \frac{1}{5} \) gives us: \[ \frac{1}{5}p - \frac{4}{3}w \]
Next, distributing \( \frac{2}{5} \) results in: \[ \frac{3}{10}p - \frac{20}{3}w \]
Now, we combine the \( w \) terms: \[ -\frac{4}{3}w - \frac{20}{3}w = -\frac{24}{3}w = -8w \]
Next, we combine the \( p \) terms: \[ \frac{1}{10}p + \frac{3}{10}p = \frac{4}{10}p = \frac{2}{5}p \]
The final answer is: \[ \frac{2}{5}p - 8w \]
You can copy and paste this structure as needed!