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Solve for nn.\newline10n=(55n)\sqrt{\,-10n} = \sqrt{(\,5 - 5n)}\newlinen=____n = \,\_\_\_\_

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Q. Solve for nn.\newline10n=(55n)\sqrt{\,-10n} = \sqrt{(\,5 - 5n)}\newlinen=____n = \,\_\_\_\_
  1. Square both sides: Square both sides of the equation to eliminate the square roots.\newline(\sqrt{-10n})^2 = (\sqrt{5 - 5n})^2\(\newline\)\newline10n=55n-10n = 5 - 5n
  2. Add nn terms: Add 5n5n to both sides of the equation to get all the nn terms on one side.\newline10n+5n=5-10n + 5n = 5\newline5n=5-5n = 5
  3. Divide by 5-5: Divide both sides by 5-5 to solve for n.\newline5n/5=5/5-5n / -5 = 5 / -5\newlinen=1n = -1

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