Question

Simplified 9 + 3 (4a - 7 ) - 5a +6

Answer 1

To simplify the expression \(9 + 3(4a - 7) - 5a + 6\), follow these steps:

1. Distribute the \(3\) into the parentheses:
\[
3(4a - 7) = 12a - 21
\]

2. Substitute back into the expression:
\[
9 + (12a - 21) - 5a + 6
\]

3. Combine like terms. First, combine the constant terms:
\[
9 - 21 + 6 = -6
\]

4. Next, combine the terms that contain \(a\):
\[
12a - 5a = 7a
\]

5. Now, combine all the parts:
\[
7a - 6
\]

So, the simplified expression is:
\[
\boxed{7a - 6}
\]