Simplifying the Expression (4m + 9) - 3(2m - 5)
This article will guide you through the steps of simplifying the algebraic expression (4m + 9) - 3(2m - 5).
Step 1: Distribute the -3
The first step involves distributing the -3 to both terms inside the parentheses:
- (4m + 9) - 3(2m - 5)
- = 4m + 9 - 6m + 15
Step 2: Combine Like Terms
Next, we combine the terms with 'm' and the constant terms:
- = (4m - 6m) + (9 + 15)
Step 3: Simplify
Finally, we simplify the expression:
- = -2m + 24
Conclusion
Therefore, the simplified form of the expression (4m + 9) - 3(2m - 5) is -2m + 24.