
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 vectors $\overrightarrow {a}=(1, -2)$, $\overrightarrow {b}=(3, 4)$.

(1) Find the coordinates of the vector $3\overrightarrow {a}+4\overrightarrow {b}$.

(2) For what value of the real number $k$ is $k\overrightarrow {a}-\overrightarrow {b}$ collinear with $3\overrightarrow {a}+4\overrightarrow {b}$.

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