Your end result for the left side of the posted equation is correct. I will make one comment.
When you get to something like -2 * (4 - 3b - 2), the order of operations says to finish working inside the parentheses before multiplying the contents by -2.
-2 * (2 - 3b)
-4 + 6b
It may seem like a trivial difference in this exercise, but if you had an expression that involved many terms inside the parentheses, it could very well turn out to be much easier to do several additions to reduce the number of multiplications. Sometimes, terms inside the parentheses will cancel each other out when added together. In these cases, doing the additions inside the parentheses first will greatly reduce your work when you next go to use the Distributive Property.
It's best to always following the order of operations.
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