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: $$\boxed{{\displaystyle 4-4h}}.$$