Simplifying the Expression (6d+5)-(2-3d)
This article will guide you through simplifying the algebraic expression (6d+5)-(2-3d).
Understanding the Expression
The expression involves:
- Variables: 'd' represents an unknown value.
- Constants: 5, 2 are numerical values.
- Operations: Addition, Subtraction, Parentheses
Simplifying the Expression
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Distribute the negative sign: The minus sign before the second parenthesis means we multiply each term inside the parenthesis by -1.
(6d + 5) + (-1 * 2) + (-1 * -3d)
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Simplify the multiplication:
(6d + 5) - 2 + 3d
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Combine like terms: Combine the 'd' terms and the constant terms.
(6d + 3d) + (5 - 2)
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Final simplification:
9d + 3
Conclusion
The simplified form of the expression (6d+5)-(2-3d) is 9d + 3.