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Simplifying 1.6 = 7.6 + -5k + 5.5 Reorder the terms: 1.6 = 7.6 + 5.5 + -5k Combine like terms: 7.6 + 5.5 = 13.1 1.6 = 13.1 + -5k Solving 1.6 = 13.1 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. 1.6 + 5k = 13.1 + -5k + 5k Combine like terms: -5k + 5k = 0 1.6 + 5k = 13.1 + 0 1.6 + 5k = 13.1 Add '-1.6' to each side of the equation. 1.6 + -1.6 + 5k = 13.1 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + 5k = 13.1 + -1.6 5k = 13.1 + -1.6 Combine like terms: 13.1 + -1.6 = 11.5 5k = 11.5 Divide each side by '5'. k = 2.3 Simplifying k = 2.3
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