
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
Read the following solution process and solve the problem:

Calculate: $53.27-\left(-18\right)+\left(-21\right)+46.73-\left(+15\right)+21$  
Solution: Original expression $=53.27+18-21+46.73-15+21$  
$=\left(53.27+46.73\right)+\left(21-21\right)+\left(18-15\right)$  
$=100+0+3$  
$=103$

$(1)$ In the calculation process, the first step transforms the original expression into a form without the plus signs and parentheses, reflecting the mathematical concept of transformation. To simplify the calculation, the second step applies the commutative and associative properties of addition.  
$(2)$ Based on the above problem-solving technique, calculate the following expression:  
$-21\frac{2}{3}+3\frac{1}{4}-(-\frac{2}{3})-(+\frac{1}{4})$.

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