
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
Consider the line $y = 4x + c$ with $c < 0$ intersecting the $y$-axis at point $T$ and the line $x=2$ at point $U$. If the ratio of the area of triangle $WVU$ to the area of triangle $WTU$ is 16:49, what is the value of $c$? Assume that $V$ and $W$ are points on the $y$-axis.

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