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Simplifying 4.5k + 3 + -3.5k = 12 Reorder the terms: 3 + 4.5k + -3.5k = 12 Combine like terms: 4.5k + -3.5k = 1k 3 + 1k = 12 Solving 3 + 1k = 12 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 1k = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 1k = 12 + -3 1k = 12 + -3 Combine like terms: 12 + -3 = 9 1k = 9 Divide each side by '1'. k = 9 Simplifying k = 9
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