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Simplifying 2k + -5k + 6.3 = -14.4 Reorder the terms: 6.3 + 2k + -5k = -14.4 Combine like terms: 2k + -5k = -3k 6.3 + -3k = -14.4 Solving 6.3 + -3k = -14.4 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6.3' to each side of the equation. 6.3 + -6.3 + -3k = -14.4 + -6.3 Combine like terms: 6.3 + -6.3 = 0.0 0.0 + -3k = -14.4 + -6.3 -3k = -14.4 + -6.3 Combine like terms: -14.4 + -6.3 = -20.7 -3k = -20.7 Divide each side by '-3'. k = 6.9 Simplifying k = 6.9
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