
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 function \( f \) has the following properties:

1. Its domain is all real numbers.
2. It is an odd function, i.e., \( f(-x) = -f(x) \) for every real number \( x \).
3. \( f(2x-3) - 2f(3x-10) + f(x-3) = 28 - 6x \) for every real number \( x \).

Determine the value of \( f(4) \).

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