Answer
$-1$
Work Step by Step
We first factor the denominator of the fraction:
Step 1: $\frac{x-9}{9-x}$
Step 2: $\frac{x-9}{-1(x-9)}$
Finally, we cancel out the common factor of $x-9$ to obtain:
Step 3: $\frac{1}{-1}$
Step 4: $-1$
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