Solve for k. 5k/3 – 3 = -1/3 + 2k k =

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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