(6d+5)−(2−3d) Answer

Jasonbradley

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Jun 16, 2024

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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:

1. Distribute the negative sign in front of the second parenthesis.
2. Combine the terms with 'd' and the constant terms separately.

Step-by-Step Solution

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

2. 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.