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Simplifying 4(6r + 3) + 2(r + 2) = 0 Reorder the terms: 4(3 + 6r) + 2(r + 2) = 0 (3 * 4 + 6r * 4) + 2(r + 2) = 0 (12 + 24r) + 2(r + 2) = 0 Reorder the terms: 12 + 24r + 2(2 + r) = 0 12 + 24r + (2 * 2 + r * 2) = 0 12 + 24r + (4 + 2r) = 0 Reorder the terms: 12 + 4 + 24r + 2r = 0 Combine like terms: 12 + 4 = 16 16 + 24r + 2r = 0 Combine like terms: 24r + 2r = 26r 16 + 26r = 0 Solving 16 + 26r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 26r = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 26r = 0 + -16 26r = 0 + -16 Combine like terms: 0 + -16 = -16 26r = -16 Divide each side by '26'. r = -0.6153846154 Simplifying r = -0.6153846154
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