Question

Please help me with this equation -1/2(12p-42)=-33

Answer 1

`-(1)/(2)(12p-42)=-33`

Multiplying by (-2) at both sides of the equation:

`\begin{gathered} (-2)\cdot(-(1)/(2))(12p-42)=(-2)\cdot(-33) \\ 12p-42=66 \end{gathered}`

Adding 42 at both sides of the equation:

`\begin{gathered} 12p-42+42=66+42 \\ 12p=108 \end{gathered}`

Dividing by 12 at both sides of the equation:

`\begin{gathered} (12p)/(12)=(108)/(12) \\ p=9 \end{gathered}`