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(2m+7)-(3-4m)

2 min read Jun 16, 2024
(2m+7)-(3-4m)

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

This article will guide you through simplifying the algebraic expression (2m + 7) - (3 - 4m).

Understanding the Expression

The expression (2m + 7) - (3 - 4m) involves:

  • Variables: 'm' represents an unknown value.
  • Constants: 7, 3 are numerical values.
  • Operations: Addition (+), subtraction (-)

Simplifying the Expression

  1. Distribute the negative sign: The minus sign before the parentheses means we multiply each term inside the second parentheses by -1. (2m + 7) - (3 - 4m) = 2m + 7 - 3 + 4m

  2. Combine like terms: Combine the terms with 'm' and the constant terms. 2m + 4m + 7 - 3

  3. Simplify: Add the coefficients of 'm' and the constants. 6m + 4

Solution

The simplified form of (2m + 7) - (3 - 4m) is 6m + 4.

Key Points

  • Remember to distribute the negative sign when simplifying expressions with parentheses.
  • Combine like terms to simplify expressions.

This process can be applied to any algebraic expression involving parentheses and different terms.

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