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What is the solution to the equation [tex]t - 15 = 76[/tex]?

1. Solve for [tex]t[/tex]:

[tex]\[
\begin{aligned}
t - 15 & = 76 \\
t - 15 + 15 & = 76 + 15 \\
t & = 91
\end{aligned}
\][/tex]

2. Verify the solution:

[tex]\[
\begin{aligned}
t - 15 & = 76 \\
91 - 15 & = 76 \\
76 & = 76
\end{aligned}
\][/tex]

Thus, the solution is [tex]t = 91[/tex].

Answer :

We need to solve the equation

[tex]$$
t - 15 = 76.
$$[/tex]

To isolate [tex]$t$[/tex], we add [tex]$15$[/tex] to both sides. This step removes the [tex]$-15$[/tex] on the left-hand side. The steps are as follows:

1. Start with

[tex]$$
t - 15 = 76.
$$[/tex]

2. Add [tex]$15$[/tex] to each side:

[tex]$$
t - 15 + 15 = 76 + 15.
$$[/tex]

3. On the left side, [tex]$-15 + 15$[/tex] cancels out, leaving:

[tex]$$
t = 76 + 15.
$$[/tex]

4. Therefore, the solution is:

[tex]$$
t = 91.
$$[/tex]

Thus, the value of [tex]$t$[/tex] that satisfies the equation is [tex]$\boxed{91}$[/tex].

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