Final answer:
To solve the algebraic equation 5m - 1 = -1 - 9m - m, combine like terms and solve for m, resulting in m = 0. Always check the solution to ensure it is reasonable and correct.
Step-by-step explanation:
The initial equation given is 5m - 1 = -1 - 9m - m. The goal is to consolidate like terms and solve for m. Here is the step-by-step solution:
- Combine like terms on both sides of the equation: 5m + 9m + m = -1 + 1.
- Simplify the equation: 15m = 0.
- Divide both sides by 15 to solve for m: m = 0/15.
- Simplify the fraction to find that m = 0.
- Check your answer by substituting m back into the original equation to ensure both sides are equal.
After checking, the solution m = 0 is found to be correct and reasonable. It is always essential to verify the solution to an algebraic equation to avoid errors.