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Simplifying 4.08 + -5k + 5 = 16.58 Reorder the terms: 4.08 + 5 + -5k = 16.58 Combine like terms: 4.08 + 5 = 9.08 9.08 + -5k = 16.58 Solving 9.08 + -5k = 16.58 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9.08' to each side of the equation. 9.08 + -9.08 + -5k = 16.58 + -9.08 Combine like terms: 9.08 + -9.08 = 0.00 0.00 + -5k = 16.58 + -9.08 -5k = 16.58 + -9.08 Combine like terms: 16.58 + -9.08 = 7.5 -5k = 7.5 Divide each side by '-5'. k = -1.5 Simplifying k = -1.5
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