(11m+5)-7(2m-1)+4(3m+5)

2 min read Jun 16, 2024

Simplifying Algebraic Expressions: (11m + 5) - 7(2m - 1) + 4(3m + 5)

This article will guide you through the process of simplifying the algebraic expression: (11m + 5) - 7(2m - 1) + 4(3m + 5).

Simplifying algebraic expressions involves combining like terms and performing operations according to the order of operations (PEMDAS/BODMAS).

Distribute: Begin by distributing the constants outside the parentheses.
- -7(2m - 1): -7 * 2m = -14m and -7 * -1 = 7
- 4(3m + 5): 4 * 3m = 12m and 4 * 5 = 20
The expression now becomes: (11m + 5) - 14m + 7 + 12m + 20
Combine Like Terms: Group together terms with the same variable (m) and constant terms.
- m terms: 11m - 14m + 12m
- Constant terms: 5 + 7 + 20
The expression simplifies to: (11m - 14m + 12m) + (5 + 7 + 20)
Simplify: Combine the coefficients of the 'm' terms and the constant terms.
- m terms: (11 - 14 + 12)m = 9m
- Constant terms: 5 + 7 + 20 = 32
The simplified expression is: 9m + 32

Therefore, the simplified form of the algebraic expression (11m + 5) - 7(2m - 1) + 4(3m + 5) is 9m + 32.