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

Answer 1

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

1. Distribute \(\frac{3}{4}\) across the terms inside the parenthesis:

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

2. Rewrite the expression incorporating this result:

\[ -5 + 6h + 9 - 10h \]

3. Now, combine the constant terms \(-5\) and \(9\):

\[ -5 + 9 = 4 \]

So, the expression now looks like:

\[ 4 + 6h - 10h \]

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

\[ 6h - 10h = -4h \]

5. Now, put it all together:

\[ 4 - 4h \]

Thus, the simplified expression is:

\[ 4 - 4h \]