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Simplify. Write your answer using whole numbers and variables.
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Q. Simplify. Write your answer using whole numbers and variables.
- Identify like terms: Identify like terms and common denominators.The expression has two terms involving and one constant term. The term with in the denominator needs to be combined with the other terms by finding a common denominator.
- Find common denominator: Find the common denominator.The common denominator for the terms is . We need to express the constant term as a fraction with the common denominator .
- Rewrite constant as fraction: Rewrite the constant term as a fraction.To rewrite as a fraction with the denominator , we multiply it by , which is equivalent to .
- Combine terms over denominator: Combine the terms over the common denominator.Now we can combine all terms over the common denominator :
- Simplify the expression: Simplify the expression. Combine the terms with the common denominator:
- Distribute and combine terms: Distribute the negative sign and combine like terms.Distribute the negative sign to both terms in the numerator of the second term:Now combine the like terms in the numerator:
- Simplify the numerator: Simplify the numerator.Combine the like terms in the numerator:Now, subtract from :
- Final simplified expression: The expression is now simplified.The final simplified expression is:
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