Answer:
b = -1
Step-by-step explanation:
3 - 2(b - 2) = 2 - 7b (Use the distributive property)
3 - 2b + 4 = 2 - 7b (Add 3 and 4)
7 - 2b = 2 - 7b (Add 7b to both sides)
7 - 2b + 7b = 2 (Add -2b to 7b)
7 + 5b = 2 (Subtract 7 from both sides)
5b = 2 - 7 (Subtract 7 from 2)
5b = -5 (Divide both sides by 5)
b = -5/5 (Divide -5 by 5)
b = -1
Work Check: (Substituting b for -1)
3 - 2(b - 2) = 2 - 7b
3 - 2(-1 - 2) = 2 - 7(-1)
3 - 2(-3) = 2 - (-7)
3 - (-6) = 2 - (-7)
3 + 6 = 2 + 7
9 = 9
That is true, so b = -1
