(6d+5)−(2−3d) Simplified

2 min read Jun 16, 2024
(6d+5)−(2−3d) Simplified

Simplifying the Expression (6d + 5) - (2 - 3d)

This article will guide you through simplifying the algebraic expression (6d + 5) - (2 - 3d).

Understanding the Problem

The expression involves combining like terms, which are terms that have the same variable and exponent. For example, 6d and -3d are like terms, while 6d and 5 are not.

Steps to Simplify

  1. Distribute the negative sign: Since we are subtracting the entire expression (2 - 3d), we distribute the negative sign to both terms inside the parentheses:

    (6d + 5) - (2 - 3d) = 6d + 5 - 2 + 3d

  2. Combine like terms: Identify and combine the d terms and the constant terms:

    6d + 3d + 5 - 2 = 9d + 3

Final Result

Therefore, the simplified form of (6d + 5) - (2 - 3d) is 9d + 3.

Key Points to Remember

  • Distribute the negative sign when subtracting expressions in parentheses.
  • Combine like terms to simplify the expression.
  • Remember the rules of addition and subtraction for signed numbers.

By following these steps, you can confidently simplify algebraic expressions involving parentheses and like terms.

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