simplify
7{[5(b-4+16]-[3(4b-3)+4]}=
Where is the ) that matches the ( before the b-4?
start with the innermost brackets
7{[5(b-4+16]-[3(4b-3)+4]}
=7{[5(b-12]-[12b-9+4]}
= 7{[5b-60]-[12b-5]}
= 7{5b-60-12b+5}
= 7{5b-60-12b+5}
= 7{-7b - 55}
= -49b - 385
bobpursely is right.
I should have looked at your brackets more carefully
To simplify the given expression, follow the order of operations (PEMDAS/BODMAS) to simplify the nested expressions within the brackets and then perform the remaining calculations step by step. Here's how you can do it:
Step 1: Simplify within the innermost brackets first.
5(b - 4 + 16) = 5(b + 12) = 5b + 60
3(4b - 3) = 12b - 9
After simplifying, the expression becomes:
7{[5b + 60] - [12b - 9] + 4} =
Step 2: Simplify within the brackets.
[5b + 60] - [12b - 9] = 5b + 60 - 12b + 9 = -7b + 69
The expression now becomes:
7{-7b + 69 + 4} =
Step 3: Simplify the remaining expression within the brackets.
-7b + 69 + 4 = -7b + 73
The simplified expression is now:
7(-7b + 73) =
Step 4: Distribute the 7 to the terms within the brackets.
7(-7b + 73) = -49b + 511
Therefore, the simplified form of the expression 7{[5(b-4+16]-[3(4b-3)+4]} is -49b + 511.