SOLUTION: I thought I already submitted this but don't see it! Help please as I can't figure out the order of distribution, is it the 30(6+24) or the 1/2?? {{{3*S+(-1/2)(6+24(-1/3+(1/4)*

You can put this solution on YOUR website!
3s+(-1/2){6+24(-1/3+1/4S)
You are getting various answers because your
posting can be interpreted in several ways.
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Please check your book and post the problem
exactly as it is printed.
Thanks,
Stan H.

You can put this solution on YOUR website!
The basic expression is:
Always work inside out: Start with the innermost parentheses and work out from there.
The innermost parenthesis is:

We cannot combine the terms, other than to note that so we "pop" out to the next level of parenthesis.
We always multiply or divide before we add or subtract (unless there are parenthesis that force us to do otherwise), so the next step is to multiply by 24.

Now the equation is a bit simpler:

The innermost parentheses are easy to remove because they are simply separators.

Now we continue by doing the righthand multiplication to handle these parentheses:
, which is simply
Substituting back into the expression, we have
, which is the end of the chain of calculations. The elaborate expression that we started with, namely
is just a complicated way of writing the number 1.

You can put this solution on YOUR website!
Did the original problem have

OR

it makes a difference is why I ask