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Simplifying 3r + 6(2r + 4) = 0 Reorder the terms: 3r + 6(4 + 2r) = 0 3r + (4 * 6 + 2r * 6) = 0 3r + (24 + 12r) = 0 Reorder the terms: 24 + 3r + 12r = 0 Combine like terms: 3r + 12r = 15r 24 + 15r = 0 Solving 24 + 15r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 15r = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 15r = 0 + -24 15r = 0 + -24 Combine like terms: 0 + -24 = -24 15r = -24 Divide each side by '15'. r = -1.6 Simplifying r = -1.6
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