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Simplifying -2.1k + 13 + 6.5 = 24 Reorder the terms: 13 + 6.5 + -2.1k = 24 Combine like terms: 13 + 6.5 = 19.5 19.5 + -2.1k = 24 Solving 19.5 + -2.1k = 24 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-19.5' to each side of the equation. 19.5 + -19.5 + -2.1k = 24 + -19.5 Combine like terms: 19.5 + -19.5 = 0.0 0.0 + -2.1k = 24 + -19.5 -2.1k = 24 + -19.5 Combine like terms: 24 + -19.5 = 4.5 -2.1k = 4.5 Divide each side by '-2.1'. k = -2.142857143 Simplifying k = -2.142857143
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