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Simplifying 8.1k + 16.58 = -5.18 + 6.5k Reorder the terms: 16.58 + 8.1k = -5.18 + 6.5k Solving 16.58 + 8.1k = -5.18 + 6.5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6.5k' to each side of the equation. 16.58 + 8.1k + -6.5k = -5.18 + 6.5k + -6.5k Combine like terms: 8.1k + -6.5k = 1.6k 16.58 + 1.6k = -5.18 + 6.5k + -6.5k Combine like terms: 6.5k + -6.5k = 0.0 16.58 + 1.6k = -5.18 + 0.0 16.58 + 1.6k = -5.18 Add '-16.58' to each side of the equation. 16.58 + -16.58 + 1.6k = -5.18 + -16.58 Combine like terms: 16.58 + -16.58 = 0.00 0.00 + 1.6k = -5.18 + -16.58 1.6k = -5.18 + -16.58 Combine like terms: -5.18 + -16.58 = -21.76 1.6k = -21.76 Divide each side by '1.6'. k = -13.6 Simplifying k = -13.6
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