Answer:
k = 2
Step-by-step explanation:
Step 1 - Expand the brackets:
3(2k - 2)
6k - 6
-2(4k - 11)
-8k + 22
The 22 is positive because 2 negative numbers multiplied together create a positive number.
The expanded equation is:
6k - 6 = -8k + 22
Step 2 - Add 8k to both sides of the equation:
6k - 6 + 8k = -8k + 22 + 8k
14k - 6 = 22
Step 3 - Add 6 to both sides of the equation:
14k - 6 + 6 = 22 + 6
14k = 28
Step 4 - Divide both sides by 14 to get the value of 1k:
[tex]\frac{14k}{14} = \frac{28}{14}[/tex]
So k = 2
Hope this helps!
