Simplify −5+3/4(8h+12)−10h

Question

.(1 point)

Answer 1

To simplify the expression \(-5 + \frac{3}{4}(8h + 12) - 10h\), we will follow the order of operations:

1. First, distribute \(\frac{3}{4}\) into the parentheses: \[ \frac{3}{4}(8h + 12) = \frac{3}{4} \cdot 8h + \frac{3}{4} \cdot 12 = 6h + 9. \]

2. Now, substitute back into the expression: \[ -5 + 6h + 9 - 10h. \]

3. Combine like terms:

   • The \(h\) terms: \(6h - 10h = -4h\)
   • The constant terms: \(-5 + 9 = 4\)

4. Therefore, combining these results gives us: \[ 4 - 4h. \]

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