
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
Given the function $f\left(x\right)=\left|2x-a\right|+a $,

(I) When $a=2$, find the solution set of the inequality $f\left(x\right)\leqslant 6 $;

(II) Let function $g\left(x\right)=\left|2x-1\right| $, when $x\in R $, $f\left(x\right)+g\left(x\right)\geqslant 3 $, find the range of values for $a$.

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