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