Final answer:
To solve the equation 8 + b/-4 = 58 - b/4, we can start by simplifying each side of the equation. On the left side, b divided by -4 can be rewritten as -b/4. On the right side, b divided by 4 remains the same. Next, we can combine the terms with b on one side of the equation and isolate b to find the solution.
Step-by-step explanation:
To solve the equation 8 + b/-4 = 58 - b/4, we can start by simplifying each side of the equation. On the left side, b divided by -4 can be rewritten as -b/4. On the right side, b divided by 4 remains the same. Now we have 8 - b/4 = 58 - b/4. Next, we can combine the terms with b on one side of the equation. Subtracting b/4 from both sides gives us 8 = 58 - 2b/4. Simplifying further, we have 8 = 58 - b/2. We can then isolate b by subtracting 58 from both sides, which gives us -50 = -b/2. Multiplying both sides by -2, we get 100 = b. Therefore, the solution to the equation is b = 100.