Which expression is equivalent to 2 (t - 4) + 1?

Question

A: 2t - 9
B: 2t - 3
C: 2t - 7
D: 2t - 5

Answer 1

To simplify the expression \( 2(t - 4) + 1 \), we can start by distributing the 2:

\[ 2(t - 4) = 2t - 8 \]

Now we substitute this back into the expression:

\[ 2(t - 4) + 1 = 2t - 8 + 1 \]

Next, we combine like terms:

\[ 2t - 8 + 1 = 2t - 7 \]

Therefore, the equivalent expression is:

\[ \boxed{2t - 7} \]

So the correct answer is C: \( 2t - 7 \).