
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Determine for which real values of \( k \) the simultaneous equations 
\[
\begin{align*}
y &= kx + 5 \\
y &= (3k - 2)x + 6
\end{align*}
\]
have at least one solution in terms of real numbers \( (x, y) \).
A) all \( k \) \\
B) all \( k \neq 0 \) \\
C) all \( k \neq \frac{1}{2} \) \\
D) all \( k \neq 1 \) \\
E) no values of \( k \)

Present the answer in LaTex format: \boxed{Your answer}
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