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Simplifying 4.5k + 2 + -3.5k = 6 Reorder the terms: 2 + 4.5k + -3.5k = 6 Combine like terms: 4.5k + -3.5k = 1k 2 + 1k = 6 Solving 2 + 1k = 6 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 1k = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 1k = 6 + -2 1k = 6 + -2 Combine like terms: 6 + -2 = 4 1k = 4 Divide each side by '1'. k = 4 Simplifying k = 4
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