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Simplifying -6(10 + 8) + 9(5r + 8) = 0 Combine like terms: 10 + 8 = 18 -6(18) + 9(5r + 8) = 0 Multiply -6 * 18 -108 + 9(5r + 8) = 0 Reorder the terms: -108 + 9(8 + 5r) = 0 -108 + (8 * 9 + 5r * 9) = 0 -108 + (72 + 45r) = 0 Combine like terms: -108 + 72 = -36 -36 + 45r = 0 Solving -36 + 45r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 45r = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 45r = 0 + 36 45r = 0 + 36 Combine like terms: 0 + 36 = 36 45r = 36 Divide each side by '45'. r = 0.8 Simplifying r = 0.8
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