
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
Given three forces $f_1 = (-2, -1)$, $f_2 = (-3, 2)$, and $f_3 = (4, -3)$ acting on a point on a body simultaneously, determine the value of the additional force $f_4$ required to keep the body in equilibrium.

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