Final answer:
To solve for [m] in the equation [4(1 + 0.5m) = 7m], distribute the 4, then isolate [m] by subtracting 2m and dividing by 5. The exact answer is m = 4/5.
Step-by-step explanation:
To solve the equation [4(1 + 0.5m) = 7m] for [m], we need to isolate the variable [m]. Here are the steps:
1. Distribute the 4: 4 + 2m = 7m
2. Subtract 2m from both sides: 4 = 5m
3. Divide both sides by 5: m = 4/5
Therefore, the exact answer for [m] is m = 4/5.