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Simplifying 10k + -12 + 1 + 2k = 0 Reorder the terms: -12 + 1 + 10k + 2k = 0 Combine like terms: -12 + 1 = -11 -11 + 10k + 2k = 0 Combine like terms: 10k + 2k = 12k -11 + 12k = 0 Solving -11 + 12k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 12k = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 12k = 0 + 11 12k = 0 + 11 Combine like terms: 0 + 11 = 11 12k = 11 Divide each side by '12'. k = 0.9166666667 Simplifying k = 0.9166666667
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