Question

Can someone please help me with this equation. I’m working on this with a friend and we are confused.

Answer 1

Given:

`7(-2k+4)-6=7k-20`

Required:

To find the value of k.

Step-by-step explanation:

Consider

`\begin{gathered} 7(-2k+4)-6=7k-20 \\ \\ -14k+28-6=7k-20 \\ \\ -14k+22=7k-20 \end{gathered}`

Subtract 22, we get

`\begin{gathered} -14k+22-22=7k-20-22 \\ \\ -14k=7k-42 \end{gathered}`

Subtract 7k, we get

`\begin{gathered} -14k-7k=7k-7k-42 \\ \\ -21k=-42 \\ \\ k=(-42)/(-21) \\ \\ k=2 \end{gathered}`

Final Answer:

`k=2`