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Simplifying r(s + 5) + 3(s + 9) = 0 Reorder the terms: r(5 + s) + 3(s + 9) = 0 (5 * r + s * r) + 3(s + 9) = 0 (5r + rs) + 3(s + 9) = 0 Reorder the terms: 5r + rs + 3(9 + s) = 0 5r + rs + (9 * 3 + s * 3) = 0 5r + rs + (27 + 3s) = 0 Reorder the terms: 27 + 5r + rs + 3s = 0 Solving 27 + 5r + rs + 3s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + 5r + rs + -27 + 3s = 0 + -27 Reorder the terms: 27 + -27 + 5r + rs + 3s = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 5r + rs + 3s = 0 + -27 5r + rs + 3s = 0 + -27 Combine like terms: 0 + -27 = -27 5r + rs + 3s = -27 Add '-3s' to each side of the equation. 5r + rs + 3s + -3s = -27 + -3s Combine like terms: 3s + -3s = 0 5r + rs + 0 = -27 + -3s 5r + rs = -27 + -3s Reorder the terms: 27 + 5r + rs + 3s = -27 + -3s + 27 + 3s Reorder the terms: 27 + 5r + rs + 3s = -27 + 27 + -3s + 3s Combine like terms: -27 + 27 = 0 27 + 5r + rs + 3s = 0 + -3s + 3s 27 + 5r + rs + 3s = -3s + 3s Combine like terms: -3s + 3s = 0 27 + 5r + rs + 3s = 0 The solution to this equation could not be determined.
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