Final answer:
The solution to the equation b/4 - 6 = 3b/4 - 19 is b = 26.
Step-by-step explanation:
The equation given is b/4 - 6 = 3b/4 - 19. To solve for b, we need to isolate the variable on one side of the equation.
Step 1: Multiply both sides of the equation by 4 to eliminate fractions. This gives us b - 24 = 3b - 76.
Step 2: Subtract b from both sides of the equation. This gives us -24 = 2b - 76.
Step 3: Add 76 to both sides of the equation. This gives us 52 = 2b.
Step 4: Divide both sides of the equation by 2. This gives us 26 = b.
Therefore, the solution to the equation is b = 26, which corresponds to option A.