Question

Simplify −5 + 3/4 ( 8 h + 12 ) − 10 h
.(1 point)

Answer 1

no

Answer 2

To simplify the expression \(-5 + \frac{3}{4} (8h + 12) - 10h\), we can follow these steps:

1. Distribute \(\frac{3}{4}\) to \(8h\) and \(12\):
\[
\frac{3}{4} \cdot 8h = 6h
\]
\[
\frac{3}{4} \cdot 12 = 9
\]

So, \(\frac{3}{4} (8h + 12) = 6h + 9\).

2. Rewrite the expression with the distributed terms:
\[
-5 + 6h + 9 - 10h
\]

3. Combine like terms. Start with the constants:
\[
-5 + 9 = 4
\]

4. Now combine the \(h\) terms:
\[
6h - 10h = -4h
\]

5. Putting it all together, we have:
\[
4 - 4h
\]

So the simplified expression is:
\[
4 - 4h
\]

Answer 3

Let’s go through the simplification step-by-step again to ensure clarity.

Given the expression:

\[
-5 + \frac{3}{4} (8h + 12) - 10h
\]

1. **Distribute \(\frac{3}{4}\)** across the terms inside the parentheses:
\[
\frac{3}{4} \cdot 8h = 6h
\]
\[
\frac{3}{4} \cdot 12 = 9
\]

Therefore:
\[
\frac{3}{4}(8h + 12) = 6h + 9
\]

2. **Substituting back** into the expression gives us:
\[
-5 + 6h + 9 - 10h
\]

3. **Combine like terms**:
- Combine the constant terms:
\[
-5 + 9 = 4
\]
- Combine the \(h\) terms:
\[
6h - 10h = -4h
\]

4. **Final expression**:
\[
4 - 4h
\]

The final simplified expression is:
\[
4 - 4h
\]

If there is a specific part you would like me to explain further or if you meant something different, please let me know!