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Simplifying 3.5 + -4.4k = -5.1k + 1.8 Reorder the terms: 3.5 + -4.4k = 1.8 + -5.1k Solving 3.5 + -4.4k = 1.8 + -5.1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5.1k' to each side of the equation. 3.5 + -4.4k + 5.1k = 1.8 + -5.1k + 5.1k Combine like terms: -4.4k + 5.1k = 0.7k 3.5 + 0.7k = 1.8 + -5.1k + 5.1k Combine like terms: -5.1k + 5.1k = 0.0 3.5 + 0.7k = 1.8 + 0.0 3.5 + 0.7k = 1.8 Add '-3.5' to each side of the equation. 3.5 + -3.5 + 0.7k = 1.8 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + 0.7k = 1.8 + -3.5 0.7k = 1.8 + -3.5 Combine like terms: 1.8 + -3.5 = -1.7 0.7k = -1.7 Divide each side by '0.7'. k = -2.428571429 Simplifying k = -2.428571429
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