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Simplifying 5(r + 9) + -2(1 + -1r) = 2 Reorder the terms: 5(9 + r) + -2(1 + -1r) = 2 (9 * 5 + r * 5) + -2(1 + -1r) = 2 (45 + 5r) + -2(1 + -1r) = 2 45 + 5r + (1 * -2 + -1r * -2) = 2 45 + 5r + (-2 + 2r) = 2 Reorder the terms: 45 + -2 + 5r + 2r = 2 Combine like terms: 45 + -2 = 43 43 + 5r + 2r = 2 Combine like terms: 5r + 2r = 7r 43 + 7r = 2 Solving 43 + 7r = 2 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + 7r = 2 + -43 Combine like terms: 43 + -43 = 0 0 + 7r = 2 + -43 7r = 2 + -43 Combine like terms: 2 + -43 = -41 7r = -41 Divide each side by '7'. r = -5.857142857 Simplifying r = -5.857142857
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