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Simplifying -6.7k + 2.53 = 5.4 + -2.6k Reorder the terms: 2.53 + -6.7k = 5.4 + -2.6k Solving 2.53 + -6.7k = 5.4 + -2.6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2.6k' to each side of the equation. 2.53 + -6.7k + 2.6k = 5.4 + -2.6k + 2.6k Combine like terms: -6.7k + 2.6k = -4.1k 2.53 + -4.1k = 5.4 + -2.6k + 2.6k Combine like terms: -2.6k + 2.6k = 0.0 2.53 + -4.1k = 5.4 + 0.0 2.53 + -4.1k = 5.4 Add '-2.53' to each side of the equation. 2.53 + -2.53 + -4.1k = 5.4 + -2.53 Combine like terms: 2.53 + -2.53 = 0.00 0.00 + -4.1k = 5.4 + -2.53 -4.1k = 5.4 + -2.53 Combine like terms: 5.4 + -2.53 = 2.87 -4.1k = 2.87 Divide each side by '-4.1'. k = -0.7 Simplifying k = -0.7
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