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

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

Combine like terms: Group together terms with 'd' and constants separately.
(6d + 3d) + (5  2)

Simplify: Perform the addition/subtraction operations.
9d + 3
Final Result
The simplified form of the algebraic expression (6d+5)−(2−3d) is 9d + 3.