
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 propositions $p$: $\(-x^{2}+8x+20\geqslant 0\)$ and $q$: $\(x^{2}+2x+1-4m^{2}\leqslant 0\)$.
(1) Solve the inequality $x^{2}+2x+1-4m^{2}\leqslant 0$ when $m\in\mathbb{R}$;
(2) When $m > 0$, if $\lnot p$ is a necessary but not sufficient condition for $\lnot q$, find the range of values for the real number $m$.

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