Question

olve for t.
–
10+2t=
–
20–16t+17t
t=

Answer 1

To solve for \( t \) in the equation:

\[
-10 + 2t = -20 - 16t + 17t
\]

First, simplify the right side of the equation:

\[
-20 - 16t + 17t = -20 + t
\]

Now the equation looks like this:

\[
-10 + 2t = -20 + t
\]

Next, we can isolate \( t \) by first getting all the \( t \) terms on one side and the constant terms on the other side. Subtract \( t \) from both sides:

\[
-10 + 2t - t = -20
\]

This simplifies to:

\[
-10 + t = -20
\]

Now, add 10 to both sides:

\[
t = -20 + 10
\]

Which simplifies to:

\[
t = -10
\]

Thus, the solution for \( t \) is:

\[
\boxed{-10}
\]