
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 sequence $\{a_{n}\}$ is an arithmetic sequence, with $a_{1}+a_{2}=-4$ and $a_{7}-a_{5}=4$.  
$(Ⅰ)$ Find the general formula for $\{a_{n}\}$.  
$(Ⅱ)$ If the sequence $\{b_{n}\}$ satisfies ${b}_{n}={a}_{n}+{3}^{n}$, find the sum of the first $n$ terms of the sequence $\{b_{n}\}$ denoted as $S_{n}$.

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