Algebra basic equations. r-2[1-3(2r+4)] = 61

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SUMMARY

The discussion centers on solving the algebraic equation r-2[1-3(2r+4)] = 61 from the textbook 'Algebra and Trigonometry'. The correct solution for the variable r is established as 3. Participants emphasize the importance of isolating the variable and suggest verifying answers by substituting back into the original equation. Additionally, effective study strategies for self-learning in algebra and trigonometry are sought, with a focus on practicing problems and reading relevant materials.

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Homework Statement


I am apparently missing a few details from the process of solving this...
This is a question from the chapter 1.1 basic equations of the textbook 'Algebra and trigonometry'

The question is:
r-2[1-3(2r+4)] = 61

I am supposed to isolate the variable and find the value of r.


Homework Equations





The Attempt at a Solution


I tried to simplify the left hand side of the equation, then attempted to isolate the variable.

The answer is apparently '3'



Also, what is a good process to study? I am right now teaching myself algebra and trigonometry. Any tips about the studying process will be greatly appreciated.
 
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Hierophant said:
I tried to simplify the left hand side of the equation, then attempted to isolate the variable.

OK, why don't you show us what each step you did was? We will be able to instantly find any mistakes you made, or give you guidance as to what the next step is.

The answer is apparently '3'

Something many students don't realize is that checking answers is a lot easier than finding them. To see if the answer really is 3 all you have to do is plug 3 into your original equation and calculate what the left hand side comes out to be. I would recommend doing it.

Questions along the lines of "what's a good way to study?" are too broad to be useful. Read things and do lots of problems to practice is basically how you study, and how much reading and how much practicing you do depends a lot on the individual.
 

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