%E2%88%92(2%E2%88%923d)-simplified.jpeg "(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
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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
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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.