How Can I Solve Organic Chemistry Synthesis Problems?

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Organic chemistry synthesis problems can be challenging, particularly when starting from complex molecules like methylcyclohexane. The specific task involves converting methylcyclohexane to 1-methyl,2-bromo-cyclohexane by adding bromine to the ortho position relative to the methyl group. Many participants in the discussion express a need for guidance on how to approach these types of synthesis problems. The original poster acknowledges posting in the wrong forum, indicating a desire for assistance in a more appropriate setting. Clear strategies and resources for tackling organic synthesis problems are essential for success in this area.
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I've been staring at these for a while now and I can't seem to get them. I would really appreciate anyone's help with these.

1. Methylcyclohexane -> 1-methyl,2-bromo-cyclohexane (bromine added to ortho carbon in respect to the methyl group). The main problem here is that I don't know where to start!

2, 3. The rest are on the attachment.

Thanks!
 

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Sorry...I realized this was the wrong forum for this.
 
Thread 'Confusion regarding a chemical kinetics problem'

Thread 'Confusion regarding a chemical kinetics problem'

TL;DR Summary: cannot find out error in solution proposed. [![question with rate laws][1]][1] Now the rate law for the reaction (i.e reaction rate) can be written as: $$ R= k[N_2O_5] $$ my main question is, WHAT is this reaction equal to? what I mean here is, whether $$k[N_2O_5]= -d[N_2O_5]/dt$$ or is it $$k[N_2O_5]= -1/2 \frac{d}{dt} [N_2O_5] $$ ? The latter seems to be more apt, as the reaction rate must be -1/2 (disappearance rate of N2O5), which adheres to the stoichiometry of the...
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