Final answer:
To find the solution to the linear equation -12 + 3b - 1 = -5 - b, you combine like terms, rearrange the equation to isolate b, and then solve; the solution is b = 2.
Step-by-step explanation:
The question asks to solve the linear equation -12 + 3b - 1 = -5 - b. To solve for b, we can combine like terms and move all terms with b to one side and the constant terms to the other side.
- Add b to both sides: -12 + 4b - 1 = -5.
- Combine the constant terms on the left side: -13 + 4b = -5.
- Add 13 to both sides: 4b = 8.
- Divide both sides by 4: b = 2.
The solution to the equation is b = 2.