Final answer:
By isolating the variable p in the equation 8 - 2p = -p, we find there is one solution, which is p = 8.
Step-by-step explanation:
To find out how many solutions the equation 8 - 2p = -p has, we can simplify it by adding p to both sides to isolate the variable p. This step reduces the number of unknowns in the equation, allowing us to solve for p.
By adding p to both sides, the equation becomes:
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- 8 - 2p + p = -p + p
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- 8 - p = 0
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- p = 8
Now, we have determined that p equals 8, meaning the equation has one solution.