Question

Find the value of k given-4k + 2(5k - 6)= -3k - 39

Answer 1

From the question, we are given

`-4k+2(5k-6)=-3k-39`

We are to find the value of k

This will be done by simplifying the given equation

First we expand the bracket

`\begin{gathered} -4k+2(5k-6)=-3k-39 \\ -4k+10k-12=-3k-39 \end{gathered}`

Next we collect like terms

`\begin{gathered} -4k+10k+3k=-39+12 \\ 9k=-27 \end{gathered}`

Finally we divide both sides by 9

This gives

`\begin{gathered} (9k)/(9)=-(27)/(9) \\ k=-3 \end{gathered}`

Therefore the value of k = - 3