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Simplifying 10 + 14s + 10k + -5s + -2k + -24 = 0 Reorder the terms: 10 + -24 + 10k + -2k + 14s + -5s = 0 Combine like terms: 10 + -24 = -14 -14 + 10k + -2k + 14s + -5s = 0 Combine like terms: 10k + -2k = 8k -14 + 8k + 14s + -5s = 0 Combine like terms: 14s + -5s = 9s -14 + 8k + 9s = 0 Solving -14 + 8k + 9s = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 8k + 14 + 9s = 0 + 14 Reorder the terms: -14 + 14 + 8k + 9s = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 8k + 9s = 0 + 14 8k + 9s = 0 + 14 Combine like terms: 0 + 14 = 14 8k + 9s = 14 Add '-9s' to each side of the equation. 8k + 9s + -9s = 14 + -9s Combine like terms: 9s + -9s = 0 8k + 0 = 14 + -9s 8k = 14 + -9s Divide each side by '8'. k = 1.75 + -1.125s Simplifying k = 1.75 + -1.125s
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