Simplifying the Expression (-6d+2)-(7+2d)
This article will guide you through simplifying the expression (-6d+2)-(7+2d). We'll break down the steps involved and explain the reasoning behind each step.
Understanding the Expression
The expression (-6d+2)-(7+2d) involves combining terms with the variable 'd' and constant terms. To simplify this expression, we need to:
- Distribute the negative sign: The minus sign before the second set of parentheses means we multiply each term inside the parentheses by -1.
- Combine like terms: We combine the terms with 'd' and the constant terms separately.
Step-by-Step Simplification
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Distribute the negative sign: (-6d + 2) + (-1 * 7) + (-1 * 2d) = -6d + 2 - 7 - 2d
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Combine like terms: (-6d - 2d) + (2 - 7)
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Simplify: -8d - 5
Conclusion
Therefore, the simplified form of the expression (-6d+2)-(7+2d) is -8d - 5.
By following these steps, you can simplify similar expressions involving parentheses and variable terms. Remember to focus on distributing signs and combining like terms.