9(k-2)=3(k-4)
We simplify the equation to the form, which is simple to understand
9(k-2)=3(k-4)
Reorder the terms in parentheses
+(+9k-18)=3*(k-4)
Remove unnecessary parentheses
+9k-18=+3+*(+k-4+)
Reorder the terms in parentheses
+9k-18=+(+3k-12)
Remove unnecessary parentheses
+9k-18=+3k-12
We move all terms containing k to the left and all other terms to the right.
+9k-3k=-12+18
We simplify left and right side of the equation.
+6k=+6
We divide both sides of the equation by 6 to get k.
k=1