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Simplifying 2 + 9(9r + 1) + -3r = 0 Reorder the terms: 2 + 9(1 + 9r) + -3r = 0 2 + (1 * 9 + 9r * 9) + -3r = 0 2 + (9 + 81r) + -3r = 0 Combine like terms: 2 + 9 = 11 11 + 81r + -3r = 0 Combine like terms: 81r + -3r = 78r 11 + 78r = 0 Solving 11 + 78r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 78r = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 78r = 0 + -11 78r = 0 + -11 Combine like terms: 0 + -11 = -11 78r = -11 Divide each side by '78'. r = -0.141025641 Simplifying r = -0.141025641
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