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Simplifying s3 + 9s2 + 20s + k = 0 Reorder the terms: k + 20s + 9s2 + s3 = 0 Solving k + 20s + 9s2 + s3 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20s' to each side of the equation. k + 20s + 9s2 + -20s + s3 = 0 + -20s Reorder the terms: k + 20s + -20s + 9s2 + s3 = 0 + -20s Combine like terms: 20s + -20s = 0 k + 0 + 9s2 + s3 = 0 + -20s k + 9s2 + s3 = 0 + -20s Remove the zero: k + 9s2 + s3 = -20s Add '-9s2' to each side of the equation. k + 9s2 + -9s2 + s3 = -20s + -9s2 Combine like terms: 9s2 + -9s2 = 0 k + 0 + s3 = -20s + -9s2 k + s3 = -20s + -9s2 Add '-1s3' to each side of the equation. k + s3 + -1s3 = -20s + -9s2 + -1s3 Combine like terms: s3 + -1s3 = 0 k + 0 = -20s + -9s2 + -1s3 k = -20s + -9s2 + -1s3 Simplifying k = -20s + -9s2 + -1s3
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