Final answer:
To solve for b in the given equation, simplify both sides by distributing, combining like terms, and isolating b on one side of the equation.
Step-by-step explanation:
To solve for b in the equation 3 - 2(b - 2) = 2 - 7b, we can start by simplifying both sides of the equation. First, distribute the 2 to (b - 2):
3 - 2b + 4 = 2 - 7b
Then, combine like terms on both sides:
-2b + 7b = -1 - 7
Combine the -2b and 7b terms:
5b = -8
Finally, divide both sides by 5 to solve for b:
b = -8/5