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Solve for 
n.

{:[(11 )/(n)=(8)/(5)],[n=]:}

Solve for n n .\newline11n=85n= \begin{array}{l} \frac{11}{n}=\frac{8}{5} \\ n= \end{array}

Full solution

Q. Solve for n n .\newline11n=85n= \begin{array}{l} \frac{11}{n}=\frac{8}{5} \\ n= \end{array}
  1. Set up equation: Set up the equation from the given problem.\newlineWe have the equation (11n)=(85)(\frac{11}{n}) = (\frac{8}{5}). To solve for nn, we need to isolate nn on one side of the equation.
  2. Cross-multiply: Cross-multiply to solve for nn. Cross-multiplying gives us 11×5=8×n11 \times 5 = 8 \times n.
  3. Perform multiplication: Perform the multiplication on both sides.\newline11×5=5511 \times 5 = 55 and 8×n=8n8 \times n = 8n, so we have 55=8n55 = 8n.
  4. Divide to solve: Divide both sides by 88 to solve for nn. \newline558=n\frac{55}{8} = n, which simplifies to n=6.875n = 6.875.

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