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Simplifying 5r + 9 + -2(1 + -1r) = 1 5r + 9 + (1 * -2 + -1r * -2) = 1 5r + 9 + (-2 + 2r) = 1 Reorder the terms: 9 + -2 + 5r + 2r = 1 Combine like terms: 9 + -2 = 7 7 + 5r + 2r = 1 Combine like terms: 5r + 2r = 7r 7 + 7r = 1 Solving 7 + 7r = 1 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 7r = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 7r = 1 + -7 7r = 1 + -7 Combine like terms: 1 + -7 = -6 7r = -6 Divide each side by '7'. r = -0.8571428571 Simplifying r = -0.8571428571
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