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Simplifying t(3r + 2) = 0 Reorder the terms: t(2 + 3r) = 0 (2 * t + 3r * t) = 0 Reorder the terms: (3rt + 2t) = 0 (3rt + 2t) = 0 Solving 3rt + 2t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2t' to each side of the equation. 3rt + 2t + -2t = 0 + -2t Combine like terms: 2t + -2t = 0 3rt + 0 = 0 + -2t 3rt = 0 + -2t Remove the zero: 3rt = -2t Divide each side by '3t'. r = -0.6666666667 Simplifying r = -0.6666666667
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