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,

]

let’s follow these steps:

1. Eliminate Fractions: Multiply the entire equation by 3 to clear the denominators:

[

3 left( frac{5k}{3} right) – 3 cdot 3 = 3 left( frac{1}{3} + 2k right)

]

This simplifies to:

[

5k – 9 = 1 + 6k

]

2. Rearrange the Equation: Move all terms involving ( k ) to one side and constant terms to the other side:

[

5k – 6k = 1 + 9

]

This simplifies to:

[

-k = 10

]

3. Solve for ( k ): Multiply both sides by -1:

[

k = -10

]

Thus, the solution is

[

k = -10.
]

Feel free to ask if you have more questions or if you need further explanations!