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Simplifying 5.7k + -3.78k = 25.8192 + -1.34k Combine like terms: 5.7k + -3.78k = 1.92k 1.92k = 25.8192 + -1.34k Solving 1.92k = 25.8192 + -1.34k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1.34k' to each side of the equation. 1.92k + 1.34k = 25.8192 + -1.34k + 1.34k Combine like terms: 1.92k + 1.34k = 3.26k 3.26k = 25.8192 + -1.34k + 1.34k Combine like terms: -1.34k + 1.34k = 0.00 3.26k = 25.8192 + 0.00 3.26k = 25.8192 Divide each side by '3.26'. k = 7.92 Simplifying k = 7.92
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