j= -2
Explanation
given
[tex]-69=11j-47[/tex]to solve for j, we need to isolate it,so
Step 1
a) apply the addition property of equality and add 47 in both sides
[tex]\begin{gathered} -69=11j-47 \\ add\text{ 47 in both sides} \\ -69+47=11j-47+47 \\ -22=11j \end{gathered}[/tex]Step 2
now, use the division property of equality and divide both sides by 11
[tex]\begin{gathered} -22=11j \\ divide\text{ both sides by 11} \\ \frac{-22}{11}=\frac{11j}{11} \\ -2=j \end{gathered}[/tex]so, the answer is
j= -2
I hope this helps you