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Simplifying 2(3r + 8) + -3(r + -9) = 0 Reorder the terms: 2(8 + 3r) + -3(r + -9) = 0 (8 * 2 + 3r * 2) + -3(r + -9) = 0 (16 + 6r) + -3(r + -9) = 0 Reorder the terms: 16 + 6r + -3(-9 + r) = 0 16 + 6r + (-9 * -3 + r * -3) = 0 16 + 6r + (27 + -3r) = 0 Reorder the terms: 16 + 27 + 6r + -3r = 0 Combine like terms: 16 + 27 = 43 43 + 6r + -3r = 0 Combine like terms: 6r + -3r = 3r 43 + 3r = 0 Solving 43 + 3r = 0 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 + 3r = 0 + -43 Combine like terms: 43 + -43 = 0 0 + 3r = 0 + -43 3r = 0 + -43 Combine like terms: 0 + -43 = -43 3r = -43 Divide each side by '3'. r = -14.33333333 Simplifying r = -14.33333333
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