Question

Simplify the expression. Write your answers using integers or improper fractions.
minus, one half, left parenthesis, minus, start fraction, 5, divided by, 2, end fraction, b, plus, 4, b, minus, 3, right parenthesis, plus, 4, b
−
2
1
​
(−
2
5
​
b+4b−3)+4b

Answer 1

Start with -1/2(-(5/2)b + 4b - 3) + 4b.

Inside parentheses: -(5/2)b + 4b = (3/2)b, so inside = (3/2)b - 3.

Multiply: -1/2 * ((3/2)b - 3) = -(3/4)b + 3/2.

Add 4b: 4b - (3/4)b = (13/4)b.

Final answer: (13/4)b + 3/2.