Solve for k.
5k/3 – 3 = -1/3 + 2k
k =
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To solve for ( k ) in the equation:
[
frac{5k}{3} – 3 = -frac{1}{3} + 2k
]
First, let’s eliminate the fractions by multiplying the entire equation by 3:
[
3 left( frac{5k}{3} right) – 3 cdot 3 = 3 left( -frac{1}{3} right) + 3 cdot 2k
]
This simplifies to:
[
5k – 9 = -1 + 6k
]
Next, let’s isolate ( k ). We can rearrange the terms by subtracting ( 5k ) from both sides:
[
-9 = -1 + 6k – 5k
]
This simplifies to:
[
-9 = -1 + k
]
Now, add 1 to both sides:
[
-9 + 1 = k
]
This results in:
[
k = -8
]
So, the solution is:
[
k = -8
]
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