Question

Simplify −5+3/4(8h+12)−10h.

Answer 1

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

1. Start with the expression:
\[
-5 + \frac{3}{4}(8h + 12) - 10h
\]

2. Distribute \(\frac{3}{4}\) into \((8h + 12)\):
\[
\frac{3}{4} \cdot 8h + \frac{3}{4} \cdot 12 = 6h + 9
\]

3. Substitute this back into the expression:
\[
-5 + (6h + 9) - 10h
\]

4. Combine the terms:
\[
-5 + 9 + 6h - 10h
\]
This simplifies to:
\[
4 - 4h
\]

So, the simplified expression is:
\[
\boxed{4 - 4h}
\]