
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
(1) Given the inequality $|2x+t|-t\leqslant 8$, and its solution set is $\{x|-5\leqslant x\leqslant 4\}$, find the real number $t$;  
(2) Given real numbers $x$, $y$, $z$ satisfying $x^{2}+ \frac {1}{4}y^{2}+ \frac {1}{9}z^{2}=2$, find the maximum value of $x+y+z$.

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