
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
The set of points \((x,y,z)\) that are equidistant to \((2,3,-4)\) and point \( P \) satisfy an equation of the form
\[ 8x - 6y + 18z = 70. \]
Find the point \( P. \)

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