To solve the equation \( 400 + -3t = 180 + 5t \), we can follow these steps:
- Combine like terms by moving all terms involving \( t \) to one side and the constant terms to the other side. First, let's add \( 3t \) to both sides:
\[ 400 = 180 + 5t + 3t \]
This simplifies to:
\[ 400 = 180 + 8t \]
- Next, subtract \( 180 \) from both sides:
\[ 400 - 180 = 8t \]
This gives us:
\[ 220 = 8t \]
- Now, divide both sides by \( 8 \) to solve for \( t \):
\[ t = \frac{220}{8} = 27.5 \]
Thus, the solution is:
\[ t = 27.5 \]