Let's solve the equation:

\[
5p - 14 = 8p + 4
\]

### Step 1: Simplify the equation

First, let's move all terms involving \( p \) to one side and the constant terms to the other side. Subtract \( 8p \) from both sides:

\[
5p - 8p - 14 = 4
\]

Simplify:

\[
-3p - 14 = 4
\]

### Step 2: Isolate the variable term

Next, add 14 to both sides to move the constant to the right:

\[
-3p = 4 + 14
\]

Simplify:

\[
-3p = 18
\]

### Step 3: Solve for \( p \)

Divide both sides by \(-3\):

\[
p = \frac{18}{-3}
\]

\[
p = -6
\]

### Final Answer

\[
p = -6
\]

Would you like more details, or do you have any questions?

### Related Questions
1. How do you solve equations with variables on both sides?
2. What happens if both sides of the equation contain fractions?
3. How can you check your solution to an equation?
4. What are common mistakes when solving linear equations?
5. How do you solve equations with parentheses?

**Tip:** Always check your solution by substituting it back into the original equation!

Learn how to solve the linear equation 5p - 14 = 8p + 4 with a detailed step-by-step solution. This problem involves isolating variables and solving simple linear equations, suitable for students in Grades 7-9.

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