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400+−3t = 180+5t

t=?

1 answer

To solve the equation \( 400 - 3t = 180 + 5t \), follow these steps:

  1. Add \( 3t \) to both sides to get all the terms involving \( t \) on one side:

    \[ 400 = 180 + 5t + 3t \]

    This simplifies to:

    \[ 400 = 180 + 8t \]

  2. Subtract 180 from both sides to isolate the \( t \) term:

    \[ 400 - 180 = 8t \]

    This simplifies to:

    \[ 220 = 8t \]

  3. Divide both sides by 8 to solve for \( t \):

    \[ t = \frac{220}{8} = 27.5 \]

Therefore, the solution is

\[ t = 27.5 \]