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Solve for rr.\newline8r=6r+2\sqrt{8r} = \sqrt{6r + 2}\newliner=r = _____

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Q. Solve for rr.\newline8r=6r+2\sqrt{8r} = \sqrt{6r + 2}\newliner=r = _____
  1. Square both sides: Square both sides of the equation to eliminate the square roots.\newline(8r)2=(6r+2)2(\sqrt{8r})^2 = (\sqrt{6r + 2})^2\newline8r=6r+28r = 6r + 2
  2. Subtract to isolate: Subtract 6r6r from both sides to isolate the variable term on one side.\newline8r6r=6r+26r8r - 6r = 6r + 2 - 6r\newline2r=22r = 2
  3. Divide to solve: Divide both sides by 22 to solve for rr.2r2=22\frac{2r}{2} = \frac{2}{2}r=1r = 1

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