We are given the equation $\frac{p+5}{3} = 1 - p$ and asked to solve for $p$.

1. Problem Description

We are given the equation $\frac{p+5}{3} = 1 - p$ and asked to solve for $p$.

2. Solution Steps

First, multiply both sides of the equation by 3 to eliminate the fraction:

$$3 \cdot \frac{p+5}{3} = 3(1 - p)$$

$$p + 5 = 3 - 3p$$

Next, add $3p$ to both sides of the equation:

$$p + 5 + 3p = 3 - 3p + 3p$$

$$4p + 5 = 3$$

Subtract 5 from both sides of the equation:

$$4p + 5 - 5 = 3 - 5$$

$$4p = -2$$

Finally, divide both sides by 4 to solve for $p$:

$$\frac{4p}{4} = \frac{-2}{4}$$

$$p = -\frac{1}{2}$$

3. Final Answer

$p = -\frac{1}{2}$