Use the drop-down menus to choose steps in order to correctly solve 4k – 6 = -2k – 16 – 2 for k.
4k – 6 = -2k – 16 – 2
4k – 6 = -2k – 18
4k = -2k
k =
How to solve 4k – 6 = -2k – 16 – 2 for k
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Use the drop-down menus to choose steps in order to correctly solve 4k – 6 = -2k – 16 – 2 for k.
4k – 6 = -2k – 16 – 2
4k – 6 = -2k – 18
4k = -2k
k =
To solve the equation (4k – 6 = -2k – 16 – 2) step-by-step:
1. Combine the constants on the right side:
(-16 – 2) simplifies to (-18).
So, the equation becomes:
(4k – 6 = -2k – 18)
2. Add (2k) to both sides to get all (k) terms on one side:
(4k + 2k – 6 = -18)
This simplifies to:
(6k – 6 = -18)
3. Add 6 to both sides to isolate the terms with (k):
(6k – 6 + 6 = -18 + 6)
This simplifies to:
(6k = -12)
4. Divide by 6 to solve for (k):
(k = frac{-12}{6})
Thus, (k = -2)
Final answer:
[ k = -2 ]
This approach systematically isolates (k) and leads to the solution. If you need further assistance, consider checking the extended services page!