%E2%88%923(2m%E2%88%925).jpeg "(4m+9)−3(2m−5)")
Simplifying the Expression: (4m + 9) - 3(2m - 5)
This article will guide you through the process of simplifying the algebraic expression (4m + 9) - 3(2m - 5).
Step 1: Distribute the -3
The first step involves distributing the -3 to the terms inside the parentheses: -3 (2m - 5) = -6m + 15
Now, the expression becomes: (4m + 9) - 6m + 15
Step 2: Combine Like Terms
Identify the terms with the same variable (m) and the constant terms. Combine them separately:
- 4m - 6m = -2m
- 9 + 15 = 24
Step 3: Final Result
Putting the combined terms together, the simplified expression is: -2m + 24
Therefore, (4m + 9) - 3(2m - 5) = -2m + 24