QuestionAugust 24, 2025

7) -(11)/(4)n+(1)/(4)n=-(11)/(2)

7) -(11)/(4)n+(1)/(4)n=-(11)/(2)
7) -(11)/(4)n+(1)/(4)n=-(11)/(2)

Solution
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Answer

n = \frac{11}{5} Explanation 1. Combine like terms Combine -\frac{11}{4}n and \frac{1}{4}n: -\frac{11}{4}n + \frac{1}{4}n = -\frac{10}{4}n = -\frac{5}{2}n. 2. Isolate the variable n Divide both sides by -\frac{5}{2}: n = \frac{-\frac{11}{2}}{-\frac{5}{2}}. 3. Simplify the expression Simplify the division: n = \frac{11}{5}.

Explanation

1. Combine like terms<br /> Combine $-\frac{11}{4}n$ and $\frac{1}{4}n$: $-\frac{11}{4}n + \frac{1}{4}n = -\frac{10}{4}n = -\frac{5}{2}n$.<br />2. Isolate the variable $n$<br /> Divide both sides by $-\frac{5}{2}$: $n = \frac{-\frac{11}{2}}{-\frac{5}{2}}$.<br />3. Simplify the expression<br /> Simplify the division: $n = \frac{11}{5}$.
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