Question

Solve for t.
–7t–8=10+2t
t=

Answer 1

To solve the equation \(-7t - 8 = 10 + 2t\), we will start by isolating \(t\).

1. First, let's get all terms involving \(t\) on one side, and constant terms on the other side. We can do this by adding \(7t\) to both sides:

\[
-7t + 7t - 8 = 10 + 2t + 7t
\]
which simplifies to:
\[
-8 = 10 + 9t
\]

2. Next, we will isolate the \(t\) term by subtracting 10 from both sides:

\[
-8 - 10 = 10 - 10 + 9t
\]
which simplifies to:
\[
-18 = 9t
\]

3. Now, divide both sides by 9 to solve for \(t\):

\[
t = \frac{-18}{9}
\]
which simplifies to:
\[
t = -2
\]

Thus, the solution is:
\[
t = -2
\]