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Simplifying 4r + 3(r + 2) = 0 Reorder the terms: 4r + 3(2 + r) = 0 4r + (2 * 3 + r * 3) = 0 4r + (6 + 3r) = 0 Reorder the terms: 6 + 4r + 3r = 0 Combine like terms: 4r + 3r = 7r 6 + 7r = 0 Solving 6 + 7r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 7r = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 7r = 0 + -6 7r = 0 + -6 Combine like terms: 0 + -6 = -6 7r = -6 Divide each side by '7'. r = -0.8571428571 Simplifying r = -0.8571428571
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