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Simplifying 6r + 3(2r + 1) = 0 Reorder the terms: 6r + 3(1 + 2r) = 0 6r + (1 * 3 + 2r * 3) = 0 6r + (3 + 6r) = 0 Reorder the terms: 3 + 6r + 6r = 0 Combine like terms: 6r + 6r = 12r 3 + 12r = 0 Solving 3 + 12r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 12r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 12r = 0 + -3 12r = 0 + -3 Combine like terms: 0 + -3 = -3 12r = -3 Divide each side by '12'. r = -0.25 Simplifying r = -0.25
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