Final answer:
To solve 2(3p−1)−7=13, distribute the 2, combine like terms, and isolate p to find p = 22/6 or approximately 3.67. Eliminate terms and check the answer for reasonableness.
Step-by-step explanation:
To solve the equation 2(3p−1)−7=13, we follow the steps below:
- First, distribute the 2 inside the parentheses: 2× 3p - 2× 1 - 7 = 13, which simplifies to 6p - 2 - 7 = 13.
- Combine like terms by adding 2 and 7 to both sides of the equation to get 6p = 13 + 2 + 7.
- Now, simplify the right-hand side: 6p = 22.
- Finally, to find the value of p, divide both sides of the equation by 6: p = 22/6, which can be simplified to p = 11/3 or approximately 3.67.
Remember to eliminate terms wherever possible to simplify the algebra and check the answer to see if it is reasonable.