Final answer:
To solve the equation -6m-3/4=2m+5/-2, follow these steps: eliminate the fractions, combine like terms, move all terms containing m to one side, and solve for m.
Step-by-step explanation:
To solve the equation -6m-3/4=2m+5/-2, we need to isolate the variable m. Here are the steps:
- Get rid of the fractions by multiplying both sides of the equation by the least common multiple of the denominators, which is 4 and -2. This gives us: -24m - 3 = 8m - 10
- Combine like terms by adding 24m to both sides of the equation. This gives us: -3 + 24m = 8m - 10 + 24m
- Simplify both sides of the equation by combining like terms. This gives us: 21m - 3 = 14m - 10
- Move all terms containing m to one side of the equation by subtracting 14m from both sides. This gives us: 7m - 3 = -10
- Finally, solve for m by adding 3 to both sides of the equation. This gives us: 7m = -7
- Divide both sides of the equation by 7 to isolate m. This gives us: m = -1