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Simplifying 3.5k + 9 + -2.5 = 16 Reorder the terms: 9 + -2.5 + 3.5k = 16 Combine like terms: 9 + -2.5 = 6.5 6.5 + 3.5k = 16 Solving 6.5 + 3.5k = 16 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6.5' to each side of the equation. 6.5 + -6.5 + 3.5k = 16 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + 3.5k = 16 + -6.5 3.5k = 16 + -6.5 Combine like terms: 16 + -6.5 = 9.5 3.5k = 9.5 Divide each side by '3.5'. k = 2.714285714 Simplifying k = 2.714285714
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