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Simplifying 5.4k + 14.6 + -10.1k = 12.8 + -3.5k + -0.6 Reorder the terms: 14.6 + 5.4k + -10.1k = 12.8 + -3.5k + -0.6 Combine like terms: 5.4k + -10.1k = -4.7k 14.6 + -4.7k = 12.8 + -3.5k + -0.6 Reorder the terms: 14.6 + -4.7k = 12.8 + -0.6 + -3.5k Combine like terms: 12.8 + -0.6 = 12.2 14.6 + -4.7k = 12.2 + -3.5k Solving 14.6 + -4.7k = 12.2 + -3.5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3.5k' to each side of the equation. 14.6 + -4.7k + 3.5k = 12.2 + -3.5k + 3.5k Combine like terms: -4.7k + 3.5k = -1.2k 14.6 + -1.2k = 12.2 + -3.5k + 3.5k Combine like terms: -3.5k + 3.5k = 0.0 14.6 + -1.2k = 12.2 + 0.0 14.6 + -1.2k = 12.2 Add '-14.6' to each side of the equation. 14.6 + -14.6 + -1.2k = 12.2 + -14.6 Combine like terms: 14.6 + -14.6 = 0.0 0.0 + -1.2k = 12.2 + -14.6 -1.2k = 12.2 + -14.6 Combine like terms: 12.2 + -14.6 = -2.4 -1.2k = -2.4 Divide each side by '-1.2'. k = 2 Simplifying k = 2
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