Final answer:
The solution to the equation 3.6m - 2.7 = -1.8m is found by first adding 1.8m to both sides, then adding 2.7 to both sides, and finally dividing by 5.4, which results in m = 0.5.
Step-by-step explanation:
To solve the equation 3.6m - 2.7 = -1.8m, we can use the properties of equality to isolate the variable m on one side of the equation. Firstly, we can add 1.8m to both sides to get all the m terms on one side.
3.6m - 2.7 + 1.8m = -1.8m + 1.8m
Simplifying both sides, we get:
5.4m - 2.7 = 0
Next, we add 2.7 to both sides to isolate the m term:
5.4m - 2.7 + 2.7 = 2.7
Which simplifies to:
5.4m = 2.7
Lastly, to solve for m, we divide both sides of the equation by 5.4:
m = 2.7 / 5.4
So m equals 0.5. Therefore, the solution to the equation is m = 0.5.