SOLUTION: 3[4b-2(b-3)+2]-5(2-3b) My teacher gave us this problem, on the answer key it says the answer is 21b+14 but how do you get that

Algebra ->  Expressions-with-variables -> SOLUTION: 3[4b-2(b-3)+2]-5(2-3b) My teacher gave us this problem, on the answer key it says the answer is 21b+14 but how do you get that      Log On


   



Question 782322: 3[4b-2(b-3)+2]-5(2-3b)
My teacher gave us this problem, on the answer key it says the answer is 21b+14 but how do you get that

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

3%284b-2%28b-3%29%2B2%29-5%282-3b%29.......recall PEMDAS

P=>Parentheses first
E=> Exponents (ie Powers and Square Roots, etc.)
M=>Multiplication
D=> and Division (left-to-right)
A=>Addition
S=> and Subtraction (left-to-right)
3%284b-2%2Ab-2%2A%28-3%29%2B2%29-5%2A2-5%2A%28-3b%29
3%284b-2b%2B6%2B2%29-10%2B15b
3%282b%2B8%29-10%2B15b
3%2A2b%2B3%2A8-10%2B15b
6b%2B24-10%2B15b
6b%2B15b%2B24-10
21b%2B14