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. Distribute the \(\frac{3}{4}\) to both terms inside the parentheses:
\[
\frac{3}{4} (8h) + \frac{3}{4} (12) = 6h + 9
\]

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

3. Combine the constant terms \(-5\) and \(9\):
\[
-5 + 9 = 4
\]

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

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

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