Question

Find the difference $\left(\frac{1}{2}h+7\right)-\left(\frac{3}{2}h+9\right)$

Answer 1

Step 1: We have given expression is

$$\begin{gathered} =\left(\frac{1}{2}h+7\right)-\left(\frac{3}{2}h+9\right) \\ =\left(\frac{1}{2}h+7\right)+\left(-\frac{3}{2}h-9\right)\{Addopposites\} \\ =\frac{1}{2}h-\frac{3}{2}h-9+7\{Commutativeproperty\} \\ =-\frac{2}{2}h-2\{Combineliketerms\} \\ =-h-2 \end{gathered}$$

Final Answer: $-h-2$