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Simplifying 18.8k + -11.6 = 15.56 + -9.3k + 9.37 Reorder the terms: -11.6 + 18.8k = 15.56 + -9.3k + 9.37 Reorder the terms: -11.6 + 18.8k = 15.56 + 9.37 + -9.3k Combine like terms: 15.56 + 9.37 = 24.93 -11.6 + 18.8k = 24.93 + -9.3k Solving -11.6 + 18.8k = 24.93 + -9.3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9.3k' to each side of the equation. -11.6 + 18.8k + 9.3k = 24.93 + -9.3k + 9.3k Combine like terms: 18.8k + 9.3k = 28.1k -11.6 + 28.1k = 24.93 + -9.3k + 9.3k Combine like terms: -9.3k + 9.3k = 0.0 -11.6 + 28.1k = 24.93 + 0.0 -11.6 + 28.1k = 24.93 Add '11.6' to each side of the equation. -11.6 + 11.6 + 28.1k = 24.93 + 11.6 Combine like terms: -11.6 + 11.6 = 0.0 0.0 + 28.1k = 24.93 + 11.6 28.1k = 24.93 + 11.6 Combine like terms: 24.93 + 11.6 = 36.53 28.1k = 36.53 Divide each side by '28.1'. k = 1.3 Simplifying k = 1.3
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