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Simplifying 1.8k + 9 = -5.7k + -6 Reorder the terms: 9 + 1.8k = -5.7k + -6 Reorder the terms: 9 + 1.8k = -6 + -5.7k Solving 9 + 1.8k = -6 + -5.7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5.7k' to each side of the equation. 9 + 1.8k + 5.7k = -6 + -5.7k + 5.7k Combine like terms: 1.8k + 5.7k = 7.5k 9 + 7.5k = -6 + -5.7k + 5.7k Combine like terms: -5.7k + 5.7k = 0.0 9 + 7.5k = -6 + 0.0 9 + 7.5k = -6 Add '-9' to each side of the equation. 9 + -9 + 7.5k = -6 + -9 Combine like terms: 9 + -9 = 0 0 + 7.5k = -6 + -9 7.5k = -6 + -9 Combine like terms: -6 + -9 = -15 7.5k = -15 Divide each side by '7.5'. k = -2 Simplifying k = -2
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