%E2%88%92(2%E2%88%923d).jpeg "(6d+5)−(2−3d)")
Simplifying Algebraic Expressions: (6d+5)−(2−3d)
This article will guide you through the process of simplifying the algebraic expression (6d+5)−(2−3d).
Understanding the Expression
The expression involves combining terms with the variable 'd' and constants. Let's break it down:
- (6d + 5): This represents a sum of two terms: 6d (a term with the variable 'd') and 5 (a constant).
- (2 - 3d): Similarly, this represents a difference between two terms: 2 (a constant) and 3d (a term with the variable 'd').
Simplifying the Expression
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Distribute the negative sign: The minus sign before the second set of parentheses indicates we need to change the signs of all terms inside the parentheses.
(6d + 5) - (2 - 3d) = 6d + 5 - 2 + 3d
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Combine like terms: Group together terms with 'd' and constants separately.
(6d + 3d) + (5 - 2)
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Simplify: Perform the addition/subtraction operations.
9d + 3
Final Result
The simplified form of the algebraic expression (6d+5)−(2−3d) is 9d + 3.