To solve the equation \(2(3p - 8) = 14\), follow these steps:

1. **Distribute the 2** to both terms inside the parentheses:
   \[
   6p - 16 = 14
   \]

2. **Add 16** to both sides to isolate the term with the variable \(p\):
   \[
   6p = 14 + 16
   \]
   \[
   6p = 30
   \]

3. **Divide by 6** to solve for \(p\):
   \[
   p = \frac{30}{6}
   \]
   \[
   p = 5
   \]

So, the solution is \(p = 5\).

Would you like more details on this solution or have any questions?

Here are some related questions:

1. How would you solve \(3(4p - 5) = 21\)?
2. What if the equation were \(2(3p + 8) = 14\)?
3. How do you solve for \(p\) when the equation includes fractions, like \( \frac{1}{2}(3p - 8) = 14\)?
4. Can you solve \(4(2p - 7) = 28\)?
5. What if you had to solve \(6p - 16 = 20\)?
6. How do you check if your solution is correct?
7. How would you solve \(5(2p - 3) = 25\)?
8. Can you solve \(2(3p - 8) = 20\)?

**Tip:** When solving equations, always perform the same operation on both sides to maintain equality.

Learn how to solve the equation 2(3p - 8) = 14 step-by-step with detailed explanations. This problem involves using the distributive property and solving linear equations. Suitable for students in Grades 7-9.

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