
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 that the function $f(x)$ is an even function and satisfies $2f(x+2)-f(-x)=0$, when $x\in(0,2]$, $f(x)=e^{x}+ax(a > 1)$, when $x\in(-4,-2]$, the maximum value of $f(x)$ is $4e^{2}+16$.  
(Ⅰ) Find the value of the real number $a$;  
(Ⅱ) For the function $g(x)= \frac {4}{3}bx^{3}-4bx+2(b\neq 0)$, if for any $x_{1}\in(1,2)$, there always exists $x_{2}\in(1,2)$, such that the inequality $f(x_{1}) < g(x_{2})$ always holds, find the range of the real number $b$.

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