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Simplifying -2 + 5(r + 5) = 2(1 + -1r) Reorder the terms: -2 + 5(5 + r) = 2(1 + -1r) -2 + (5 * 5 + r * 5) = 2(1 + -1r) -2 + (25 + 5r) = 2(1 + -1r) Combine like terms: -2 + 25 = 23 23 + 5r = 2(1 + -1r) 23 + 5r = (1 * 2 + -1r * 2) 23 + 5r = (2 + -2r) Solving 23 + 5r = 2 + -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. 23 + 5r + 2r = 2 + -2r + 2r Combine like terms: 5r + 2r = 7r 23 + 7r = 2 + -2r + 2r Combine like terms: -2r + 2r = 0 23 + 7r = 2 + 0 23 + 7r = 2 Add '-23' to each side of the equation. 23 + -23 + 7r = 2 + -23 Combine like terms: 23 + -23 = 0 0 + 7r = 2 + -23 7r = 2 + -23 Combine like terms: 2 + -23 = -21 7r = -21 Divide each side by '7'. r = -3 Simplifying r = -3
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