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