Final answer:
The solution to the equation -1.25(8m-16)=2(10-5m) is all real numbers.
Step-by-step explanation:
To solve the equation -1.25(8m-16)=2(10-5m), we will distribute the -1.25 and 2 to their respective terms inside the parentheses:
-10m + 20 = 20 - 10m
Next, we will combine like terms:
-10m + 10m = 20 - 20
Since the variables cancel out and we are left with 0 = 0, this means that the equation is true for all values of m. Therefore, the solution to this equation is all real numbers.