Problem

2) $2(4-2 r)=-2(r+5)$

Answer

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Answer

The solution to the equation \(2(4-2 r)=-2(r+5)\) is \(r = \boxed{9}\).

Steps

Step 1 :Expand the brackets on both sides of the equation to get \(8 - 4r = -2r - 10\).

Step 2 :Move all terms involving 'r' to one side of the equation and the constant terms to the other side to get \(2r = 18\).

Step 3 :Divide both sides of the equation by the coefficient of 'r' to solve for 'r', giving \(r = 9\).

Step 4 :The solution to the equation \(2(4-2 r)=-2(r+5)\) is \(r = \boxed{9}\).

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