which algebraic expression is equivalent to the expression below?

(10+2t)-2t
given
10+4t
10-2t
2
10

1 answer

To simplify the expression \( (10 + 2t) - 2t \), you can follow these steps:

  1. Start with the original expression: \[ (10 + 2t) - 2t \]

  2. Distribute the negative sign: \[ 10 + 2t - 2t \]

  3. Combine like terms: \[ 10 + (2t - 2t) = 10 + 0 = 10 \]

So, the expression simplifies to \( 10 \).

Among the provided options, the equivalent expression is: \[ \boxed{10} \]