Q. Simplify. Write your answer using whole numbers and variables.d−47d−28
Identify like terms: Identify like terms and common denominators.The expression 7d−d28−4 has two terms involving d and one constant term. The term with d 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 d. We need to express the constant term −4 as a fraction with the common denominator d.
Rewrite constant as fraction: Rewrite the constant term as a fraction.To rewrite −4 as a fraction with the denominator d, we multiply it by dd, which is equivalent to 1.−4×(dd)=d−4d
Combine terms over denominator: Combine the terms over the common denominator.Now we can combine all terms over the common denominator d:d7d−28−d4d
Simplify the expression: Simplify the expression. Combine the terms with the common denominator: 7d−d28+4d
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:7d−d28−d4dNow combine the like terms in the numerator:7d−d28+4d
Simplify the numerator: Simplify the numerator.Combine the like terms in the numerator:7d−(28+4d)/d=7d−(4d+28)/dNow, subtract 4d from 7d:(7d−4d)−28/d=3d−28/d
Final simplified expression: The expression is now simplified.The final simplified expression is:3d−d28
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