Final answer:
To solve the equation 7/4m - 7 = 3/4m - 13, subtract 3/4m from both sides, combine the m terms, and divide by 4/4 to find m = -6.
Step-by-step explanation:
To solve the equation 7/4m - 7 = 3/4m - 13, we want to isolate the variable 'm' on one side of the equation. We can start by subtracting 3/4m from both sides to get 7/4m - 3/4m - 7 = -13. Simplifying this gives us 4/4m - 7 = -13. We can then combine the 'm' terms by subtracting 7 from both sides, resulting in 4/4m = -6. Finally, we can simplify further by dividing both sides by 4/4, giving us m = -6.