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Simplifying -1(-5r + 2) = -1(5 + 4r) + -2r Reorder the terms: -1(2 + -5r) = -1(5 + 4r) + -2r (2 * -1 + -5r * -1) = -1(5 + 4r) + -2r (-2 + 5r) = -1(5 + 4r) + -2r -2 + 5r = (5 * -1 + 4r * -1) + -2r -2 + 5r = (-5 + -4r) + -2r Combine like terms: -4r + -2r = -6r -2 + 5r = -5 + -6r Solving -2 + 5r = -5 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. -2 + 5r + 6r = -5 + -6r + 6r Combine like terms: 5r + 6r = 11r -2 + 11r = -5 + -6r + 6r Combine like terms: -6r + 6r = 0 -2 + 11r = -5 + 0 -2 + 11r = -5 Add '2' to each side of the equation. -2 + 2 + 11r = -5 + 2 Combine like terms: -2 + 2 = 0 0 + 11r = -5 + 2 11r = -5 + 2 Combine like terms: -5 + 2 = -3 11r = -3 Divide each side by '11'. r = -0.2727272727 Simplifying r = -0.2727272727
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