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Simplifying -5.2k + 6.4 = -7k Reorder the terms: 6.4 + -5.2k = -7k Solving 6.4 + -5.2k = -7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7k' to each side of the equation. 6.4 + -5.2k + 7k = -7k + 7k Combine like terms: -5.2k + 7k = 1.8k 6.4 + 1.8k = -7k + 7k Combine like terms: -7k + 7k = 0 6.4 + 1.8k = 0 Add '-6.4' to each side of the equation. 6.4 + -6.4 + 1.8k = 0 + -6.4 Combine like terms: 6.4 + -6.4 = 0.0 0.0 + 1.8k = 0 + -6.4 1.8k = 0 + -6.4 Combine like terms: 0 + -6.4 = -6.4 1.8k = -6.4 Divide each side by '1.8'. k = -3.555555556 Simplifying k = -3.555555556
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