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Simplifying -3.5k + 16.74 + 6.3k = -8.46 Reorder the terms: 16.74 + -3.5k + 6.3k = -8.46 Combine like terms: -3.5k + 6.3k = 2.8k 16.74 + 2.8k = -8.46 Solving 16.74 + 2.8k = -8.46 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16.74' to each side of the equation. 16.74 + -16.74 + 2.8k = -8.46 + -16.74 Combine like terms: 16.74 + -16.74 = 0.00 0.00 + 2.8k = -8.46 + -16.74 2.8k = -8.46 + -16.74 Combine like terms: -8.46 + -16.74 = -25.2 2.8k = -25.2 Divide each side by '2.8'. k = -9 Simplifying k = -9
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