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Simplifying 3(7r + 4) + 9(r + 8) = 0 Reorder the terms: 3(4 + 7r) + 9(r + 8) = 0 (4 * 3 + 7r * 3) + 9(r + 8) = 0 (12 + 21r) + 9(r + 8) = 0 Reorder the terms: 12 + 21r + 9(8 + r) = 0 12 + 21r + (8 * 9 + r * 9) = 0 12 + 21r + (72 + 9r) = 0 Reorder the terms: 12 + 72 + 21r + 9r = 0 Combine like terms: 12 + 72 = 84 84 + 21r + 9r = 0 Combine like terms: 21r + 9r = 30r 84 + 30r = 0 Solving 84 + 30r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + 30r = 0 + -84 Combine like terms: 84 + -84 = 0 0 + 30r = 0 + -84 30r = 0 + -84 Combine like terms: 0 + -84 = -84 30r = -84 Divide each side by '30'. r = -2.8 Simplifying r = -2.8
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