Final answer:
After analyzing all options, it is evident that options A (p - p - 7 = 22 - p) and B (p - 7 - p = 22 -) are not equivalent to the original equation p - 7 = 22.
Step-by-step explanation:
The goal is to identify which equations are not equivalent to the original equation p - 7 = 22. Here's a breakdown of each option:
- A. p - p - 7 = 22 - p: Simplifies to -7 = 22 - p which is not equivalent to the original equation.
- B. p - 7 - p = 22 -: Simplifies to -7 = 22 which is clearly not equivalent to the original equation.
- C. p - 7 + 22 = 22 - 7: This one is equivalent to the original, because both sides simplify to p = 37.
- D. p - 7 + 7 = 22 + 22: This one is equivalent to the original because adding 7 to both sides of the original equation yields p = 29.
- E. p - 7 + 7 = 22 + 7: This is also equivalent to the original since adding 7 to both sides of the original equation would result in p = 29.
Therefore, the options that are not equivalent to the original equation are A and B.