m having an extremely tough time with integers in algebra when simplifying algebraic expressions. No matter which method I use I still end up confused and end up with a completely different answer.

Ex:

5t-{7t-[4r-3(t-7)]+6r}-4r

2 answers

Start from the inside out.

5t-{7t-[4r-3(t-7)]+6r}-4r

5t-{7t-[4r-3t + 21]+6r}-4r

5t-{7t-4r + 3t - 21+ 6r}-4r

5t-7t + 4r - 3t + 21 - 6r - 4r

Combine like terms.

I hope this helps.
thanks this helps quite a bit.