Answer: [tex]\bold{p=\dfrac{c-28}{16}}[/tex]
Step-by-step explanation:
[tex]c=44+\dfrac{(p-1)(32)}{2}\\\\c=44+(p-1)(16)\quad \rightarrow\quad \text{simplified}\ (32\div2=16)\\\\c=44+16p-16\quad \rightarrow\quad \text{distributed 16 into p - 1}\\\\c=28+16p\quad \rightarrow\quad \text{added like terms (44 - 16)}\\\\c-28=16p\quad \rightarrow\quad \text{subtracted 28 from both sides}\\\\\dfrac{c-28}{16}=p\quad \rightarrow\quad \text{divided 16 from both sides}[/tex]
