
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
Two jars contain the same number of marbles, where each marble is either blue or green. In Jar $1$, the ratio of blue to green marbles is $7:2$, and in Jar $2$, the ratio of blue to green marbles is $8:1$. If there are $135$ green marbles in all, calculate the difference in the number of blue marbles in Jar $1$ and Jar $2$.

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