Question

What value of t is a solution to this equation?
–
9=9(t–5)–9

Answer 1

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

\[
\boxed{5}
\]