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Simplifying -9(r + -9) + -8(r + 9) = 0 Reorder the terms: -9(-9 + r) + -8(r + 9) = 0 (-9 * -9 + r * -9) + -8(r + 9) = 0 (81 + -9r) + -8(r + 9) = 0 Reorder the terms: 81 + -9r + -8(9 + r) = 0 81 + -9r + (9 * -8 + r * -8) = 0 81 + -9r + (-72 + -8r) = 0 Reorder the terms: 81 + -72 + -9r + -8r = 0 Combine like terms: 81 + -72 = 9 9 + -9r + -8r = 0 Combine like terms: -9r + -8r = -17r 9 + -17r = 0 Solving 9 + -17r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -17r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -17r = 0 + -9 -17r = 0 + -9 Combine like terms: 0 + -9 = -9 -17r = -9 Divide each side by '-17'. r = 0.5294117647 Simplifying r = 0.5294117647
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