Question

Solve 4(3b + 2) – 5b = 43 for b. Question 4 options: A) b = 3 B) b = 5 C) b = –3 D) b = –5

Answer 1

b = 5

Explanation:

4 ( 3b + 2 ) - 5b = 43 Given

( 4 • 3b + 4 • 2 ) - 5b = 43 Distributive Property

12b + 8 - 5b = 43

12b - 5b + 8 = 43 Combine like terms

7b + 8 = 43

7b + 8 - 8 = 43 - 8 Subtraction Property of Equality

7b = 35

7b / 7 = 35 / 7 Division Property of Equality

b = 5