Final answer:
Solving the linear equation 5m + 7/2 = 3/2m - 14 starts with removing the fractions and organizing the equation. After simplifying, we find the solution m = -5.
Step-by-step explanation:
The problem 5m + 7/2 = 3/2m - 14 is a linear equation.
To solve for m, first, we need to get rid of fractions.
Multiply everything by 2 to have 10m +7 = 3m - 28.
Then, subtract 3m from both sides to have 10m - 3m = - 28 - 7,
hence 7m = -35. Finally, divide by 7 on both sides to find that m = -5.
Learn more about solving linear equations