Question

Which expression is equivalent to 3 (a - 26) - 2a + 6? (1 point)
• a + 76
—a + -76
• а - 56
• а - 26

Answer 1

To simplify the expression \(3(a - 26) - 2a + 6\), follow these steps:

1. Distribute the 3 in the first term:
\[
3(a - 26) = 3a - 78
\]

2. Substitute it back into the expression:
\[
3a - 78 - 2a + 6
\]

3. Combine like terms:
\[
(3a - 2a) + (-78 + 6) = a - 72
\]

So the simplified expression is:
\[
a - 72
\]

None of the provided options match this result exactly. Let's re-check if any option can be interpreted as \(a - 72\):
- The options you provided are:
- a + 76
- -a + -76
- а - 56
- а - 26

None of these options are equivalent to \(a - 72\). If there was a mistake in the options listed, you may want to double-check them.