Simplifying the Expression: (6d+5)−(2−3d)
This article will guide you through simplifying the expression (6d+5)−(2−3d). We'll break down each step to ensure clarity and understanding.
Understanding the Problem
The expression (6d+5)−(2−3d) involves combining like terms within parentheses. To simplify this expression, we need to:
 Distribute the negative sign in front of the second parenthesis.
 Combine the terms with 'd' and the constant terms separately.
StepbyStep Solution

Distribute the negative sign: (6d + 5) + (1) * (2  3d) = 6d + 5  2 + 3d

Combine like terms: (6d + 3d) + (5  2) = 9d + 3
Conclusion
Therefore, the simplified form of the expression (6d+5)−(2−3d) is 9d + 3.
This process demonstrates how to combine terms in an expression using the distributive property and identifying like terms. By following these steps, you can confidently simplify algebraic expressions.