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There is no solution.
p - 4 = -9 + p
We add -p to both sides
p - 4 = -9 + p
-p -p
---------------
-4 = -9
When all variables are eliminated from an equation, and what is left
is a false statemenr, then that means there is no solution. Such an
equation is called "a contradiction".
When all variables are eliminated from an equation, and what is left
is a true statement, that that means there are infinitely many solutions.
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Suppose we had had x + 3 = 3 + x
x + 3 = 3 + x
-x -x
---------------
3 = 3
That is true so there are infinitely many solutions. That is called "an
identity".
Edwin