Question

Which expression is equivalent to 3 (a - 2b) - 2a + 6? (1 point)
• a + 7b
—a + -7b
• а - 5b
• а - 2b

Answer 1

Let's simplify the expression \( 3(a - 2b) - 2a + 6 \).

1. Distribute \( 3 \) to the terms inside the parentheses:
\[
3(a - 2b) = 3a - 6b
\]

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

3. Now, combine like terms:
- For the \( a \) terms: \( 3a - 2a = a \)
- For the \( b \) terms: \( -6b \)
- The constant term is \( 6 \)

Putting it all together, we get:
\[
a - 6b + 6
\]

Now, looking at the options given:
- \( a + 7b \)
- \( -a - 7b \)
- \( a - 5b \)
- \( a - 2b \)

None of the provided options match the simplified expression \( a - 6b + 6 \).

Hence, if you have an error in the options or if they were copied incorrectly, please double-check and let me know, or if I can assist with anything else!