Question

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

Answer 1

To simplify the expression \( 9 + 3(4a - 7) - 5a + 6 \), we will follow the order of operations (parentheses first, then multiplication, and finally addition and subtraction).

1. **Distribute \( 3 \) in \( 3(4a - 7) \)**:
\[
3(4a) - 3(7) = 12a - 21
\]

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

3. **Combine like terms**:
- Combine the constant terms: \( 9 - 21 + 6 \):
\[
9 - 21 = -12
\]
\[
-12 + 6 = -6
\]
- Combine the \( a \) terms: \( 12a - 5a \):
\[
12a - 5a = 7a
\]

4. **Final expression**:
\[
7a - 6
\]

So, the simplified expression is \( 7a - 6 \).