What value of t is a solution to this equation?


9=9(t–5)–9

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

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

\[ \boxed{5} \]