Answer:
k = 3
Step-by-step explanation:
step 1: simplify both sides of the equation
([tex]\frac{1}{3}[/tex]) (9k) + ([tex]\frac{1}{3}[/tex]) (3) = (-2) (k) + (-2) (-8) (distribute)
3k + 1 = -2k +16
step 2: add 2k to both sides
3k + 1 + 2k =-2k + 16 + 2k
5k + 1 = 16
step 3: subtract 1 from both sides
5k + 1 - 1 = 16 - 1
5k = 15
step 4: divide both sides by 5
[tex]\frac{5k}{5}[/tex] = [tex]\frac{15}{5}[/tex]
k = 3
