
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 an arithmetic sequence {a<sub>n</sub>} with the sum of its first n terms denoted as S<sub>n</sub>, if $$S_{m-1}=-4，S_{m}=0，S_{m+2}=14(m≥2，\text{and}m∈N^{*})$$, find:

1. The first term a<sub>1</sub> and the value of m
2. The sum of the first n terms of the sequence {(a<sub>n</sub>+6)•b<sub>n</sub>}, given that the sequence {b<sub>n</sub>} satisfies $$\frac {a_{n}}{2}=log_{2}b_{n}(n∈N^{*})$$

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