
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
Let \[g(x) = \left\{
\begin{array}{cl} cx+4, &\text{ if }x>3, \\
x-6 &\text{ if } -3 \le x \le 3, \\
3x-d &\text{ if } x <-3.
\end{array}
\right.\]Find \(c+d\) if the piecewise function is continuous.

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