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375+(−5t) = 25+2t


t=

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To solve the equation \( 375 + (-5t) = 25 + 2t \), we can start by simplifying and rearranging the terms.

  1. Rewrite the equation: \[ 375 - 5t = 25 + 2t \]

  2. Next, add \( 5t \) to both sides to eliminate \( -5t \) from the left side: \[ 375 = 25 + 2t + 5t \] This simplifies to: \[ 375 = 25 + 7t \]

  3. Now, subtract \( 25 \) from both sides: \[ 375 - 25 = 7t \] \[ 350 = 7t \]

  4. Finally, divide both sides by \( 7 \) to solve for \( t \): \[ t = \frac{350}{7} = 50 \]

Thus, the solution is: \[ t = 50 \]