Answer:
m = 10
Explanation:
The value of m that would make this equation true is 10. To figure this out you must work the equation to combine like terms. To start, remember PEMDAS. You would begin with 1/2 (8m - 18) and multiply both 8m and 18 by 1/2. Because half of 8 is 4 and half of 18 is 9, your new equation would be 4m - 9 = 31. From here you would add nine to both sides to finish combining like terms. The equation from this point should be 4m = 40. To find the value of m, you then have to divide both sides by 4, leading to the equation/solution of m = 10.