The given equation \(3 + y^3 + z^3 = k\) is an algebraic expression where \(y\), \(z\), and \(k\) are variables, and \(3\) is a constant. 

To solve for one of the variables in terms of the others, you can isolate the desired variable. Let's solve for \(k\):

\[3 + y^3 + z^3 = k\]

So, 

\[k = 3 + y^3 + z^3\]

If you have specific values for \(y\) and \(z\), you can substitute them into the equation to find the value of \(k\). Conversely, if you have the value of \(k\) and one of the other variables, you can solve for the remaining variable.

Would you like a detailed example with specific values, or do you have any other questions about this equation?

Here are some questions you might want to ask next:
1. How do you solve for \(y\) in the equation \(3 + y^3 + z^3 = k\)?
2. What is the value of \(k\) when \(y = 2\) and \(z = 1\)?
3. How do you solve for \(z\) in the equation \(3 + y^3 + z^3 = k\)?
4. Can you provide an example of solving for \(k\) with given values of \(y\) and \(z\)?
5. How do you solve for one variable in a polynomial equation?

**Tip:** When solving equations, always perform the same operation on both sides to maintain the equality.

Learn how to solve the equation 3 + y^3 + z^3 = k with a detailed explanation. This problem involves algebraic manipulation to find the value of k in terms of variables y and z. Suitable for advanced high school students.

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