To solve the equation \( -9 = 9(t - 5) - 9 \), we will first simplify the right side of the equation.
Starting with the right side:
\[ 9(t - 5) - 9 \]
Distributing the \(9\):
\[ = 9t - 45 - 9 \]
Now, combine the constant terms:
\[ = 9t - 54 \]
So, the equation now looks like this:
\[ -9 = 9t - 54 \]
Next, we can add \(54\) to both sides to isolate the term with \(t\):
\[ -9 + 54 = 9t \]
Calculating the left side:
\[ 45 = 9t \]
Now, to solve for \(t\), we divide both sides by \(9\):
\[ t = \frac{45}{9} = 5 \]
Thus, the value of \(t\) that is a solution to the equation is
\[ \boxed{5} \]
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