Final answer:
To solve the equation, first combine like terms, isolate the variable m, and then multiply by the reciprocal of the coefficient of m. This resulting in the solution m = 4.5.
Step-by-step explanation:
To solve the equation 4/3 m = - m + 5/3 m + 3, we need to combine like terms and then isolate the variable m.
- Combine like terms on the right side of the equation:
- -m and +5/3m results in -3/3m + 5/3m, which simplifies to 2/3m.
Now the equation looks like this: 4/3 m = 2/3 m + 3.Subtract 2/3m from both sides to isolate m:
- 4/3m - 2/3m = 3.
- This simplifies to 2/3m = 3.
Finally, multiply both sides by the reciprocal of 2/3 to solve for m:
- (3/2) * (2/3)m = 3 * (3/2).
- This results in m = 9/2 or m = 4.5.