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

$\begin{gathered} \frac{9k}{9}=-\frac{27}{9} \\ k=-3 \end{gathered}$

Therefore the value of k = - 3