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Simplifying 10k + 12k + 7k + 18 = -17 Reorder the terms: 18 + 10k + 12k + 7k = -17 Combine like terms: 10k + 12k = 22k 18 + 22k + 7k = -17 Combine like terms: 22k + 7k = 29k 18 + 29k = -17 Solving 18 + 29k = -17 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 29k = -17 + -18 Combine like terms: 18 + -18 = 0 0 + 29k = -17 + -18 29k = -17 + -18 Combine like terms: -17 + -18 = -35 29k = -35 Divide each side by '29'. k = -1.206896552 Simplifying k = -1.206896552
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