We are given the equation:

\[
p - 1 = 5p + 3p - 8
\]

### Step 1: Simplify both sides of the equation.
On the right-hand side, combine like terms:

\[
p - 1 = (5p + 3p) - 8
\]
\[
p - 1 = 8p - 8
\]

### Step 2: Move all terms involving \( p \) to one side of the equation.
Subtract \( p \) from both sides:

\[
-1 = 8p - 8 - p
\]
\[
-1 = 7p - 8
\]

### Step 3: Isolate \( p \).
Add 8 to both sides:

\[
-1 + 8 = 7p
\]
\[
7 = 7p
\]

### Step 4: Solve for \( p \).
Divide both sides by 7:

\[
p = \frac{7}{7}
\]
\[
p = 1
\]

Thus, the solution is \( p = 1 \).

Would you like any further explanation on these steps or have any questions?

Here are some related problems you can try:
1. Solve for \( x \): \( 2x - 4 = 6x + 8 \)
2. Solve for \( y \): \( 3y + 2 = 5y - 7 \)
3. Solve for \( z \): \( 10 - 4z = 2z + 18 \)
4. Solve for \( m \): \( 9m - 6 = 2m + 3m - 12 \)
5. Solve for \( n \): \( 4n + 9 = 6n - 5 \)

**Tip**: Always combine like terms before moving variables to one side for simplification.

Learn how to solve the linear equation p - 1 = 5p + 3p - 8 with a step-by-step solution. This problem explains simplification, combining like terms, and isolating variables, making it suitable for students in Grades 6-8.

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