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To determine the value of p, we need to set the two equations equal to each other:
7p - 8 = 8p - 17
Now, we can solve for p by rearranging the equation:
7p - 8p = -17 + 8
-p = -9
To isolate p, we can multiply both sides of the equation by -1 (which will flip the sign):
p = 9
Therefore, p is equal to 9 in both equations.