
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
小颖在一张纸上画一条数轴,并在数轴上标出$A$、$B$、$C$三个点,点$A$表示的数是$-8$,点$B$在原点的右边且与点$A$相距$20$个单位长度.

（1）点$B$表示的数是＿＿＿；

（2）将这张纸对折,此时点$B$与表示$-4$的点刚好重合,折痕与数轴交于点$C$,求点$C$表示的数；

（3）若点$D$到点$A$和点$B$的距离之和为$25$,求点$D$所表示的数；

（4）点$A$和点$B$同时从初始位置沿数轴向左运动,它们的速度分别是每秒$1$个单位长度和每秒$2$个单位长度,运动时间是$t$秒.是否存在$t$的值,使$t$秒后点$A$到原点的距离与点$B$到原点的距离相等?若存在,请求出$t$的值；若不存在,请说明理由.

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